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Finding the Third Proportional to 91,658 and 137,729

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Solution

The third proportional to 91,658 and 137,729 is: 206,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,658 : 137,729 = 137,729 : x
  2. Step 2: Convert to fraction form
    91,658/137,729 = 137,729/x
  3. Step 3: Cross multiply
    91,658x = 137,729 × 137,729
  4. Step 4: Simplify right side
    91,658x = 18,969,277,441
  5. Step 5: Solve for x
    x = 18,969,277,441/91,658
  6. Step 6: Final answer
    x = 206,957.14

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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.