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Finding the Third Proportional to 84,138 and 125,478

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Solution

The third proportional to 84,138 and 125,478 is: 187,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,138 : 125,478 = 125,478 : x
  2. Step 2: Convert to fraction form
    84,138/125,478 = 125,478/x
  3. Step 3: Cross multiply
    84,138x = 125,478 × 125,478
  4. Step 4: Simplify right side
    84,138x = 15,744,728,484
  5. Step 5: Solve for x
    x = 15,744,728,484/84,138
  6. Step 6: Final answer
    x = 187,129.82

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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.