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Finding the Third Proportional to 400.25 and 534.25

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Solution

The third proportional to 400.25 and 534.25 is: 713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.25 : 534.25 = 534.25 : x
  2. Step 2: Convert to fraction form
    400.25/534.25 = 534.25/x
  3. Step 3: Cross multiply
    400.25x = 534.25 × 534.25
  4. Step 4: Simplify right side
    400.25x = 285,423.06
  5. Step 5: Solve for x
    x = 285,423.06/400.25
  6. Step 6: Final answer
    x = 713.11

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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.