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Finding the Third Proportional to 121,064.50 and 281,331

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Solution

The third proportional to 121,064.50 and 281,331 is: 653,760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,064.50 : 281,331 = 281,331 : x
  2. Step 2: Convert to fraction form
    121,064.50/281,331 = 281,331/x
  3. Step 3: Cross multiply
    121,064.50x = 281,331 × 281,331
  4. Step 4: Simplify right side
    121,064.50x = 79,147,131,561
  5. Step 5: Solve for x
    x = 79,147,131,561/121,064.50
  6. Step 6: Final answer
    x = 653,760.03

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.