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Finding the Third Proportional to 334.76 and 426.20

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Solution

The third proportional to 334.76 and 426.20 is: 542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.76 : 426.20 = 426.20 : x
  2. Step 2: Convert to fraction form
    334.76/426.20 = 426.20/x
  3. Step 3: Cross multiply
    334.76x = 426.20 × 426.20
  4. Step 4: Simplify right side
    334.76x = 181,645.77
  5. Step 5: Solve for x
    x = 181,645.77/334.76
  6. Step 6: Final answer
    x = 542.62

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.