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Finding the Third Proportional to 137,668 and 209,120

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Solution

The third proportional to 137,668 and 209,120 is: 317,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,668 : 209,120 = 209,120 : x
  2. Step 2: Convert to fraction form
    137,668/209,120 = 209,120/x
  3. Step 3: Cross multiply
    137,668x = 209,120 × 209,120
  4. Step 4: Simplify right side
    137,668x = 43,731,174,400
  5. Step 5: Solve for x
    x = 43,731,174,400/137,668
  6. Step 6: Final answer
    x = 317,656.79

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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.