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Finding the Third Proportional to 83,557 and 129,445

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Solution

The third proportional to 83,557 and 129,445 is: 200,533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,557 : 129,445 = 129,445 : x
  2. Step 2: Convert to fraction form
    83,557/129,445 = 129,445/x
  3. Step 3: Cross multiply
    83,557x = 129,445 × 129,445
  4. Step 4: Simplify right side
    83,557x = 16,756,008,025
  5. Step 5: Solve for x
    x = 16,756,008,025/83,557
  6. Step 6: Final answer
    x = 200,533.86

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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.