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Finding the Third Proportional to 81,138 and 124,791

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Solution

The third proportional to 81,138 and 124,791 is: 191,929.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,138 : 124,791 = 124,791 : x
  2. Step 2: Convert to fraction form
    81,138/124,791 = 124,791/x
  3. Step 3: Cross multiply
    81,138x = 124,791 × 124,791
  4. Step 4: Simplify right side
    81,138x = 15,572,793,681
  5. Step 5: Solve for x
    x = 15,572,793,681/81,138
  6. Step 6: Final answer
    x = 191,929.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.