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Finding the Third Proportional to 131,344 and 281,120

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Solution

The third proportional to 131,344 and 281,120 is: 601,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,344 : 281,120 = 281,120 : x
  2. Step 2: Convert to fraction form
    131,344/281,120 = 281,120/x
  3. Step 3: Cross multiply
    131,344x = 281,120 × 281,120
  4. Step 4: Simplify right side
    131,344x = 79,028,454,400
  5. Step 5: Solve for x
    x = 79,028,454,400/131,344
  6. Step 6: Final answer
    x = 601,690.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.