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Finding the Third Proportional to 257,527 and 559,384

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Solution

The third proportional to 257,527 and 559,384 is: 1,215,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,527 : 559,384 = 559,384 : x
  2. Step 2: Convert to fraction form
    257,527/559,384 = 559,384/x
  3. Step 3: Cross multiply
    257,527x = 559,384 × 559,384
  4. Step 4: Simplify right side
    257,527x = 312,910,459,456
  5. Step 5: Solve for x
    x = 312,910,459,456/257,527
  6. Step 6: Final answer
    x = 1,215,058.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.