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Finding the Third Proportional to 78,509,661 and 171,295,650

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Solution

The third proportional to 78,509,661 and 171,295,650 is: 373,739,987.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509,661 : 171,295,650 = 171,295,650 : x
  2. Step 2: Convert to fraction form
    78,509,661/171,295,650 = 171,295,650/x
  3. Step 3: Cross multiply
    78,509,661x = 171,295,650 × 171,295,650
  4. Step 4: Simplify right side
    78,509,661x = 29,342,199,708,922,500
  5. Step 5: Solve for x
    x = 29,342,199,708,922,500/78,509,661
  6. Step 6: Final answer
    x = 373,739,987.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.