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Finding the Third Proportional to 81,138 and 124,792

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Solution

The third proportional to 81,138 and 124,792 is: 191,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,138 : 124,792 = 124,792 : x
  2. Step 2: Convert to fraction form
    81,138/124,792 = 124,792/x
  3. Step 3: Cross multiply
    81,138x = 124,792 × 124,792
  4. Step 4: Simplify right side
    81,138x = 15,573,043,264
  5. Step 5: Solve for x
    x = 15,573,043,264/81,138
  6. Step 6: Final answer
    x = 191,932.80

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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.