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Finding the Third Proportional to 352.13 and 538.31

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Solution

The third proportional to 352.13 and 538.31 is: 822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.13 : 538.31 = 538.31 : x
  2. Step 2: Convert to fraction form
    352.13/538.31 = 538.31/x
  3. Step 3: Cross multiply
    352.13x = 538.31 × 538.31
  4. Step 4: Simplify right side
    352.13x = 289,780.35
  5. Step 5: Solve for x
    x = 289,780.35/352.13
  6. Step 6: Final answer
    x = 822.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.