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Finding the Third Proportional to 129,108 and 281,580

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Solution

The third proportional to 129,108 and 281,580 is: 614,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,108 : 281,580 = 281,580 : x
  2. Step 2: Convert to fraction form
    129,108/281,580 = 281,580/x
  3. Step 3: Cross multiply
    129,108x = 281,580 × 281,580
  4. Step 4: Simplify right side
    129,108x = 79,287,296,400
  5. Step 5: Solve for x
    x = 79,287,296,400/129,108
  6. Step 6: Final answer
    x = 614,116.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.