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Finding the Third Proportional to 257,481 and 548,442

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Solution

The third proportional to 257,481 and 548,442 is: 1,168,197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,481 : 548,442 = 548,442 : x
  2. Step 2: Convert to fraction form
    257,481/548,442 = 548,442/x
  3. Step 3: Cross multiply
    257,481x = 548,442 × 548,442
  4. Step 4: Simplify right side
    257,481x = 300,788,627,364
  5. Step 5: Solve for x
    x = 300,788,627,364/257,481
  6. Step 6: Final answer
    x = 1,168,197.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.