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Finding the Third Proportional to 138,540 and 208,748

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Solution

The third proportional to 138,540 and 208,748 is: 314,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,540 : 208,748 = 208,748 : x
  2. Step 2: Convert to fraction form
    138,540/208,748 = 208,748/x
  3. Step 3: Cross multiply
    138,540x = 208,748 × 208,748
  4. Step 4: Simplify right side
    138,540x = 43,575,727,504
  5. Step 5: Solve for x
    x = 43,575,727,504/138,540
  6. Step 6: Final answer
    x = 314,535.35

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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.