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Finding the Third Proportional to 129,558 and 278,988

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Solution

The third proportional to 129,558 and 278,988 is: 600,768.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,558 : 278,988 = 278,988 : x
  2. Step 2: Convert to fraction form
    129,558/278,988 = 278,988/x
  3. Step 3: Cross multiply
    129,558x = 278,988 × 278,988
  4. Step 4: Simplify right side
    129,558x = 77,834,304,144
  5. Step 5: Solve for x
    x = 77,834,304,144/129,558
  6. Step 6: Final answer
    x = 600,768.03

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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.