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Finding the Third Proportional to 471.66 and 733.78

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Solution

The third proportional to 471.66 and 733.78 is: 1,141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.66 : 733.78 = 733.78 : x
  2. Step 2: Convert to fraction form
    471.66/733.78 = 733.78/x
  3. Step 3: Cross multiply
    471.66x = 733.78 × 733.78
  4. Step 4: Simplify right side
    471.66x = 538,434.92
  5. Step 5: Solve for x
    x = 538,434.92/471.66
  6. Step 6: Final answer
    x = 1,141.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.