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Finding the Third Proportional to 132,085 and 257,555

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Solution

The third proportional to 132,085 and 257,555 is: 502,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,085 : 257,555 = 257,555 : x
  2. Step 2: Convert to fraction form
    132,085/257,555 = 257,555/x
  3. Step 3: Cross multiply
    132,085x = 257,555 × 257,555
  4. Step 4: Simplify right side
    132,085x = 66,334,578,025
  5. Step 5: Solve for x
    x = 66,334,578,025/132,085
  6. Step 6: Final answer
    x = 502,211.29

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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.