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Finding the Third Proportional to 240,127.88 and 321,327

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Solution

The third proportional to 240,127.88 and 321,327 is: 429,983.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,127.88 : 321,327 = 321,327 : x
  2. Step 2: Convert to fraction form
    240,127.88/321,327 = 321,327/x
  3. Step 3: Cross multiply
    240,127.88x = 321,327 × 321,327
  4. Step 4: Simplify right side
    240,127.88x = 103,251,040,929
  5. Step 5: Solve for x
    x = 103,251,040,929/240,127.88
  6. Step 6: Final answer
    x = 429,983.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.