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Finding the Third Proportional to 397.13 and 525.09

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Solution

The third proportional to 397.13 and 525.09 is: 694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.13 : 525.09 = 525.09 : x
  2. Step 2: Convert to fraction form
    397.13/525.09 = 525.09/x
  3. Step 3: Cross multiply
    397.13x = 525.09 × 525.09
  4. Step 4: Simplify right side
    397.13x = 275,723.45
  5. Step 5: Solve for x
    x = 275,723.45/397.13
  6. Step 6: Final answer
    x = 694.30

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.