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Finding the Third Proportional to 83,445 and 129,126.75

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Solution

The third proportional to 83,445 and 129,126.75 is: 199,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,445 : 129,126.75 = 129,126.75 : x
  2. Step 2: Convert to fraction form
    83,445/129,126.75 = 129,126.75/x
  3. Step 3: Cross multiply
    83,445x = 129,126.75 × 129,126.75
  4. Step 4: Simplify right side
    83,445x = 16,673,717,565.56
  5. Step 5: Solve for x
    x = 16,673,717,565.56/83,445
  6. Step 6: Final answer
    x = 199,816.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.