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Finding the Third Proportional to 129,978 and 281,988

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Solution

The third proportional to 129,978 and 281,988 is: 611,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,978 : 281,988 = 281,988 : x
  2. Step 2: Convert to fraction form
    129,978/281,988 = 281,988/x
  3. Step 3: Cross multiply
    129,978x = 281,988 × 281,988
  4. Step 4: Simplify right side
    129,978x = 79,517,232,144
  5. Step 5: Solve for x
    x = 79,517,232,144/129,978
  6. Step 6: Final answer
    x = 611,774.55

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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.