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Finding the Third Proportional to 61,712,106.19 and 132,711,672.38

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Solution

The third proportional to 61,712,106.19 and 132,711,672.38 is: 285,395,995.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,712,106.19 : 132,711,672.38 = 132,711,672.38 : x
  2. Step 2: Convert to fraction form
    61,712,106.19/132,711,672.38 = 132,711,672.38/x
  3. Step 3: Cross multiply
    61,712,106.19x = 132,711,672.38 × 132,711,672.38
  4. Step 4: Simplify right side
    61,712,106.19x = 17,612,387,984,569,338
  5. Step 5: Solve for x
    x = 17,612,387,984,569,338/61,712,106.19
  6. Step 6: Final answer
    x = 285,395,995.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.