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Finding the Third Proportional to 232.13 and 471.28

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Solution

The third proportional to 232.13 and 471.28 is: 956.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.13 : 471.28 = 471.28 : x
  2. Step 2: Convert to fraction form
    232.13/471.28 = 471.28/x
  3. Step 3: Cross multiply
    232.13x = 471.28 × 471.28
  4. Step 4: Simplify right side
    232.13x = 222,106.02
  5. Step 5: Solve for x
    x = 222,106.02/232.13
  6. Step 6: Final answer
    x = 956.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.