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Finding the Third Proportional to 138,304 and 213,604

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Solution

The third proportional to 138,304 and 213,604 is: 329,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,304 : 213,604 = 213,604 : x
  2. Step 2: Convert to fraction form
    138,304/213,604 = 213,604/x
  3. Step 3: Cross multiply
    138,304x = 213,604 × 213,604
  4. Step 4: Simplify right side
    138,304x = 45,626,668,816
  5. Step 5: Solve for x
    x = 45,626,668,816/138,304
  6. Step 6: Final answer
    x = 329,901.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.