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Finding the Third Proportional to 129,564 and 278,996

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Solution

The third proportional to 129,564 and 278,996 is: 600,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,564 : 278,996 = 278,996 : x
  2. Step 2: Convert to fraction form
    129,564/278,996 = 278,996/x
  3. Step 3: Cross multiply
    129,564x = 278,996 × 278,996
  4. Step 4: Simplify right side
    129,564x = 77,838,768,016
  5. Step 5: Solve for x
    x = 77,838,768,016/129,564
  6. Step 6: Final answer
    x = 600,774.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.