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Finding the Third Proportional to 138,200 and 285,124

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Solution

The third proportional to 138,200 and 285,124 is: 588,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,200 : 285,124 = 285,124 : x
  2. Step 2: Convert to fraction form
    138,200/285,124 = 285,124/x
  3. Step 3: Cross multiply
    138,200x = 285,124 × 285,124
  4. Step 4: Simplify right side
    138,200x = 81,295,695,376
  5. Step 5: Solve for x
    x = 81,295,695,376/138,200
  6. Step 6: Final answer
    x = 588,246.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.