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Finding the Third Proportional to 132,086 and 257,557

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Solution

The third proportional to 132,086 and 257,557 is: 502,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,086 : 257,557 = 257,557 : x
  2. Step 2: Convert to fraction form
    132,086/257,557 = 257,557/x
  3. Step 3: Cross multiply
    132,086x = 257,557 × 257,557
  4. Step 4: Simplify right side
    132,086x = 66,335,608,249
  5. Step 5: Solve for x
    x = 66,335,608,249/132,086
  6. Step 6: Final answer
    x = 502,215.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.