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Finding the Third Proportional to 91,602 and 136,712

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Solution

The third proportional to 91,602 and 136,712 is: 204,036.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,602 : 136,712 = 136,712 : x
  2. Step 2: Convert to fraction form
    91,602/136,712 = 136,712/x
  3. Step 3: Cross multiply
    91,602x = 136,712 × 136,712
  4. Step 4: Simplify right side
    91,602x = 18,690,170,944
  5. Step 5: Solve for x
    x = 18,690,170,944/91,602
  6. Step 6: Final answer
    x = 204,036.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.