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Finding the Third Proportional to 81,502 and 124,675

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Solution

The third proportional to 81,502 and 124,675 is: 190,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,502 : 124,675 = 124,675 : x
  2. Step 2: Convert to fraction form
    81,502/124,675 = 124,675/x
  3. Step 3: Cross multiply
    81,502x = 124,675 × 124,675
  4. Step 4: Simplify right side
    81,502x = 15,543,855,625
  5. Step 5: Solve for x
    x = 15,543,855,625/81,502
  6. Step 6: Final answer
    x = 190,717.47

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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.