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Finding the Third Proportional to 132,142 and 281,360

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Solution

The third proportional to 132,142 and 281,360 is: 599,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,142 : 281,360 = 281,360 : x
  2. Step 2: Convert to fraction form
    132,142/281,360 = 281,360/x
  3. Step 3: Cross multiply
    132,142x = 281,360 × 281,360
  4. Step 4: Simplify right side
    132,142x = 79,163,449,600
  5. Step 5: Solve for x
    x = 79,163,449,600/132,142
  6. Step 6: Final answer
    x = 599,078.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.