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Finding the Third Proportional to 126,566 and 278,394

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Solution

The third proportional to 126,566 and 278,394 is: 612,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,566 : 278,394 = 278,394 : x
  2. Step 2: Convert to fraction form
    126,566/278,394 = 278,394/x
  3. Step 3: Cross multiply
    126,566x = 278,394 × 278,394
  4. Step 4: Simplify right side
    126,566x = 77,503,219,236
  5. Step 5: Solve for x
    x = 77,503,219,236/126,566
  6. Step 6: Final answer
    x = 612,354.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.