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Finding the Third Proportional to 240.75 and 342.28

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Solution

The third proportional to 240.75 and 342.28 is: 486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.75 : 342.28 = 342.28 : x
  2. Step 2: Convert to fraction form
    240.75/342.28 = 342.28/x
  3. Step 3: Cross multiply
    240.75x = 342.28 × 342.28
  4. Step 4: Simplify right side
    240.75x = 117,156.45
  5. Step 5: Solve for x
    x = 117,156.45/240.75
  6. Step 6: Final answer
    x = 486.63

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.