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Finding the Third Proportional to 135,938 and 207,487

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Solution

The third proportional to 135,938 and 207,487 is: 316,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,938 : 207,487 = 207,487 : x
  2. Step 2: Convert to fraction form
    135,938/207,487 = 207,487/x
  3. Step 3: Cross multiply
    135,938x = 207,487 × 207,487
  4. Step 4: Simplify right side
    135,938x = 43,050,855,169
  5. Step 5: Solve for x
    x = 43,050,855,169/135,938
  6. Step 6: Final answer
    x = 316,694.78

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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.