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Finding the Third Proportional to 387,255,469,911 and 828,911,128,765.50

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Solution

The third proportional to 387,255,469,911 and 828,911,128,765.50 is: 1,774,264,568,939.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,255,469,911 : 828,911,128,765.50 = 828,911,128,765.50 : x
  2. Step 2: Convert to fraction form
    387,255,469,911/828,911,128,765.50 = 828,911,128,765.50/x
  3. Step 3: Cross multiply
    387,255,469,911x = 828,911,128,765.50 × 828,911,128,765.50
  4. Step 4: Simplify right side
    387,255,469,911x = 687,093,659,391,295,383,142,400
  5. Step 5: Solve for x
    x = 687,093,659,391,295,383,142,400/387,255,469,911
  6. Step 6: Final answer
    x = 1,774,264,568,939.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.