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Finding the Third Proportional to 138,003.12 and 281,080.76

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Solution

The third proportional to 138,003.12 and 281,080.76 is: 572,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,003.12 : 281,080.76 = 281,080.76 : x
  2. Step 2: Convert to fraction form
    138,003.12/281,080.76 = 281,080.76/x
  3. Step 3: Cross multiply
    138,003.12x = 281,080.76 × 281,080.76
  4. Step 4: Simplify right side
    138,003.12x = 79,006,392,412.45
  5. Step 5: Solve for x
    x = 79,006,392,412.45/138,003.12
  6. Step 6: Final answer
    x = 572,497.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.