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Finding the Third Proportional to 257,982 and 371,592

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Solution

The third proportional to 257,982 and 371,592 is: 535,233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,982 : 371,592 = 371,592 : x
  2. Step 2: Convert to fraction form
    257,982/371,592 = 371,592/x
  3. Step 3: Cross multiply
    257,982x = 371,592 × 371,592
  4. Step 4: Simplify right side
    257,982x = 138,080,614,464
  5. Step 5: Solve for x
    x = 138,080,614,464/257,982
  6. Step 6: Final answer
    x = 535,233.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.