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Finding the Third Proportional to 259,976 and 564,394

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Solution

The third proportional to 259,976 and 564,394 is: 1,225,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,976 : 564,394 = 564,394 : x
  2. Step 2: Convert to fraction form
    259,976/564,394 = 564,394/x
  3. Step 3: Cross multiply
    259,976x = 564,394 × 564,394
  4. Step 4: Simplify right side
    259,976x = 318,540,587,236
  5. Step 5: Solve for x
    x = 318,540,587,236/259,976
  6. Step 6: Final answer
    x = 1,225,269.21

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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.