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Finding the Third Proportional to 78,122,074.50 and 165,101,481

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Solution

The third proportional to 78,122,074.50 and 165,101,481 is: 348,921,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,122,074.50 : 165,101,481 = 165,101,481 : x
  2. Step 2: Convert to fraction form
    78,122,074.50/165,101,481 = 165,101,481/x
  3. Step 3: Cross multiply
    78,122,074.50x = 165,101,481 × 165,101,481
  4. Step 4: Simplify right side
    78,122,074.50x = 27,258,499,028,393,360
  5. Step 5: Solve for x
    x = 27,258,499,028,393,360/78,122,074.50
  6. Step 6: Final answer
    x = 348,921,853.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.