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Finding the Third Proportional to 83,128 and 125,565

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Solution

The third proportional to 83,128 and 125,565 is: 189,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,128 : 125,565 = 125,565 : x
  2. Step 2: Convert to fraction form
    83,128/125,565 = 125,565/x
  3. Step 3: Cross multiply
    83,128x = 125,565 × 125,565
  4. Step 4: Simplify right side
    83,128x = 15,766,569,225
  5. Step 5: Solve for x
    x = 15,766,569,225/83,128
  6. Step 6: Final answer
    x = 189,666.17

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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.