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Finding the Third Proportional to 257,592 and 571,432

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Solution

The third proportional to 257,592 and 571,432 is: 1,267,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,592 : 571,432 = 571,432 : x
  2. Step 2: Convert to fraction form
    257,592/571,432 = 571,432/x
  3. Step 3: Cross multiply
    257,592x = 571,432 × 571,432
  4. Step 4: Simplify right side
    257,592x = 326,534,530,624
  5. Step 5: Solve for x
    x = 326,534,530,624/257,592
  6. Step 6: Final answer
    x = 1,267,642.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.