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Finding the Third Proportional to 137,668 and 209,121

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Solution

The third proportional to 137,668 and 209,121 is: 317,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,668 : 209,121 = 209,121 : x
  2. Step 2: Convert to fraction form
    137,668/209,121 = 209,121/x
  3. Step 3: Cross multiply
    137,668x = 209,121 × 209,121
  4. Step 4: Simplify right side
    137,668x = 43,731,592,641
  5. Step 5: Solve for x
    x = 43,731,592,641/137,668
  6. Step 6: Final answer
    x = 317,659.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.