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Finding the Third Proportional to 91,624 and 138,712

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Solution

The third proportional to 91,624 and 138,712 is: 209,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,624 : 138,712 = 138,712 : x
  2. Step 2: Convert to fraction form
    91,624/138,712 = 138,712/x
  3. Step 3: Cross multiply
    91,624x = 138,712 × 138,712
  4. Step 4: Simplify right side
    91,624x = 19,241,018,944
  5. Step 5: Solve for x
    x = 19,241,018,944/91,624
  6. Step 6: Final answer
    x = 209,999.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.