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Finding the Third Proportional to 424.13 and 511.88

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Solution

The third proportional to 424.13 and 511.88 is: 617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.13 : 511.88 = 511.88 : x
  2. Step 2: Convert to fraction form
    424.13/511.88 = 511.88/x
  3. Step 3: Cross multiply
    424.13x = 511.88 × 511.88
  4. Step 4: Simplify right side
    424.13x = 262,016.02
  5. Step 5: Solve for x
    x = 262,016.02/424.13
  6. Step 6: Final answer
    x = 617.78

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.