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Finding the Third Proportional to 121,304 and 263,328

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Solution

The third proportional to 121,304 and 263,328 is: 571,635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,304 : 263,328 = 263,328 : x
  2. Step 2: Convert to fraction form
    121,304/263,328 = 263,328/x
  3. Step 3: Cross multiply
    121,304x = 263,328 × 263,328
  4. Step 4: Simplify right side
    121,304x = 69,341,635,584
  5. Step 5: Solve for x
    x = 69,341,635,584/121,304
  6. Step 6: Final answer
    x = 571,635.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.