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Finding the Third Proportional to 240.88 and 321.94

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Solution

The third proportional to 240.88 and 321.94 is: 430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.88 : 321.94 = 321.94 : x
  2. Step 2: Convert to fraction form
    240.88/321.94 = 321.94/x
  3. Step 3: Cross multiply
    240.88x = 321.94 × 321.94
  4. Step 4: Simplify right side
    240.88x = 103,643.75
  5. Step 5: Solve for x
    x = 103,643.75/240.88
  6. Step 6: Final answer
    x = 430.28

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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.