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Finding the Third Proportional to 138,300 and 281,677

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Solution

The third proportional to 138,300 and 281,677 is: 573,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,300 : 281,677 = 281,677 : x
  2. Step 2: Convert to fraction form
    138,300/281,677 = 281,677/x
  3. Step 3: Cross multiply
    138,300x = 281,677 × 281,677
  4. Step 4: Simplify right side
    138,300x = 79,341,932,329
  5. Step 5: Solve for x
    x = 79,341,932,329/138,300
  6. Step 6: Final answer
    x = 573,694.38

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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.