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Finding the Third Proportional to 66,787,129.13 and 102,166,920

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Solution

The third proportional to 66,787,129.13 and 102,166,920 is: 156,288,789.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,787,129.13 : 102,166,920 = 102,166,920 : x
  2. Step 2: Convert to fraction form
    66,787,129.13/102,166,920 = 102,166,920/x
  3. Step 3: Cross multiply
    66,787,129.13x = 102,166,920 × 102,166,920
  4. Step 4: Simplify right side
    66,787,129.13x = 10,438,079,542,286,400
  5. Step 5: Solve for x
    x = 10,438,079,542,286,400/66,787,129.13
  6. Step 6: Final answer
    x = 156,288,789.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.