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Finding the Third Proportional to 405.38 and 511.13

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Solution

The third proportional to 405.38 and 511.13 is: 644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.38 : 511.13 = 511.13 : x
  2. Step 2: Convert to fraction form
    405.38/511.13 = 511.13/x
  3. Step 3: Cross multiply
    405.38x = 511.13 × 511.13
  4. Step 4: Simplify right side
    405.38x = 261,248.77
  5. Step 5: Solve for x
    x = 261,248.77/405.38
  6. Step 6: Final answer
    x = 644.46

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.