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Finding the Third Proportional to 257,042 and 545,188

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Solution

The third proportional to 257,042 and 545,188 is: 1,156,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,042 : 545,188 = 545,188 : x
  2. Step 2: Convert to fraction form
    257,042/545,188 = 545,188/x
  3. Step 3: Cross multiply
    257,042x = 545,188 × 545,188
  4. Step 4: Simplify right side
    257,042x = 297,229,955,344
  5. Step 5: Solve for x
    x = 297,229,955,344/257,042
  6. Step 6: Final answer
    x = 1,156,347.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.