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Finding the Third Proportional to 137,614.13 and 209,979

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Solution

The third proportional to 137,614.13 and 209,979 is: 320,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,614.13 : 209,979 = 209,979 : x
  2. Step 2: Convert to fraction form
    137,614.13/209,979 = 209,979/x
  3. Step 3: Cross multiply
    137,614.13x = 209,979 × 209,979
  4. Step 4: Simplify right side
    137,614.13x = 44,091,180,441
  5. Step 5: Solve for x
    x = 44,091,180,441/137,614.13
  6. Step 6: Final answer
    x = 320,397.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.