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Finding the Third Proportional to 121,656 and 261,304

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Solution

The third proportional to 121,656 and 261,304 is: 561,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,656 : 261,304 = 261,304 : x
  2. Step 2: Convert to fraction form
    121,656/261,304 = 261,304/x
  3. Step 3: Cross multiply
    121,656x = 261,304 × 261,304
  4. Step 4: Simplify right side
    121,656x = 68,279,780,416
  5. Step 5: Solve for x
    x = 68,279,780,416/121,656
  6. Step 6: Final answer
    x = 561,252.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.