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Finding the Third Proportional to 138,592 and 209,142

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Solution

The third proportional to 138,592 and 209,142 is: 315,605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,592 : 209,142 = 209,142 : x
  2. Step 2: Convert to fraction form
    138,592/209,142 = 209,142/x
  3. Step 3: Cross multiply
    138,592x = 209,142 × 209,142
  4. Step 4: Simplify right side
    138,592x = 43,740,376,164
  5. Step 5: Solve for x
    x = 43,740,376,164/138,592
  6. Step 6: Final answer
    x = 315,605.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.