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Finding the Third Proportional to 132,052 and 257,489

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Solution

The third proportional to 132,052 and 257,489 is: 502,079.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,052 : 257,489 = 257,489 : x
  2. Step 2: Convert to fraction form
    132,052/257,489 = 257,489/x
  3. Step 3: Cross multiply
    132,052x = 257,489 × 257,489
  4. Step 4: Simplify right side
    132,052x = 66,300,585,121
  5. Step 5: Solve for x
    x = 66,300,585,121/132,052
  6. Step 6: Final answer
    x = 502,079.37

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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.