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Finding the Third Proportional to 401.76 and 591.84

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Solution

The third proportional to 401.76 and 591.84 is: 871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.76 : 591.84 = 591.84 : x
  2. Step 2: Convert to fraction form
    401.76/591.84 = 591.84/x
  3. Step 3: Cross multiply
    401.76x = 591.84 × 591.84
  4. Step 4: Simplify right side
    401.76x = 350,272.09
  5. Step 5: Solve for x
    x = 350,272.09/401.76
  6. Step 6: Final answer
    x = 871.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.