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Finding the Third Proportional to 138,680 and 209,000

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Solution

The third proportional to 138,680 and 209,000 is: 314,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,680 : 209,000 = 209,000 : x
  2. Step 2: Convert to fraction form
    138,680/209,000 = 209,000/x
  3. Step 3: Cross multiply
    138,680x = 209,000 × 209,000
  4. Step 4: Simplify right side
    138,680x = 43,681,000,000
  5. Step 5: Solve for x
    x = 43,681,000,000/138,680
  6. Step 6: Final answer
    x = 314,976.93

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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.