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Finding the Third Proportional to 83,035 and 125,535

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Solution

The third proportional to 83,035 and 125,535 is: 189,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,035 : 125,535 = 125,535 : x
  2. Step 2: Convert to fraction form
    83,035/125,535 = 125,535/x
  3. Step 3: Cross multiply
    83,035x = 125,535 × 125,535
  4. Step 4: Simplify right side
    83,035x = 15,759,036,225
  5. Step 5: Solve for x
    x = 15,759,036,225/83,035
  6. Step 6: Final answer
    x = 189,787.88

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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.