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Finding the Third Proportional to 91,463 and 137,438

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Solution

The third proportional to 91,463 and 137,438 is: 206,522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,463 : 137,438 = 137,438 : x
  2. Step 2: Convert to fraction form
    91,463/137,438 = 137,438/x
  3. Step 3: Cross multiply
    91,463x = 137,438 × 137,438
  4. Step 4: Simplify right side
    91,463x = 18,889,203,844
  5. Step 5: Solve for x
    x = 18,889,203,844/91,463
  6. Step 6: Final answer
    x = 206,522.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.