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Finding the Third Proportional to 256.29 and 342.11

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Solution

The third proportional to 256.29 and 342.11 is: 456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.29 : 342.11 = 342.11 : x
  2. Step 2: Convert to fraction form
    256.29/342.11 = 342.11/x
  3. Step 3: Cross multiply
    256.29x = 342.11 × 342.11
  4. Step 4: Simplify right side
    256.29x = 117,036.15
  5. Step 5: Solve for x
    x = 117,036.15/256.29
  6. Step 6: Final answer
    x = 456.66

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.