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Finding the Third Proportional to 449.38 and 511.38

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Solution

The third proportional to 449.38 and 511.38 is: 581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.38 : 511.38 = 511.38 : x
  2. Step 2: Convert to fraction form
    449.38/511.38 = 511.38/x
  3. Step 3: Cross multiply
    449.38x = 511.38 × 511.38
  4. Step 4: Simplify right side
    449.38x = 261,504.39
  5. Step 5: Solve for x
    x = 261,504.39/449.38
  6. Step 6: Final answer
    x = 581.93

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.