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Finding the Third Proportional to 73,656,634.50 and 102,413,688.75

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Solution

The third proportional to 73,656,634.50 and 102,413,688.75 is: 142,398,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,656,634.50 : 102,413,688.75 = 102,413,688.75 : x
  2. Step 2: Convert to fraction form
    73,656,634.50/102,413,688.75 = 102,413,688.75/x
  3. Step 3: Cross multiply
    73,656,634.50x = 102,413,688.75 × 102,413,688.75
  4. Step 4: Simplify right side
    73,656,634.50x = 10,488,563,643,381,876
  5. Step 5: Solve for x
    x = 10,488,563,643,381,876/73,656,634.50
  6. Step 6: Final answer
    x = 142,398,084.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.