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Finding the Third Proportional to 471.28 and 619.69

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Solution

The third proportional to 471.28 and 619.69 is: 814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.28 : 619.69 = 619.69 : x
  2. Step 2: Convert to fraction form
    471.28/619.69 = 619.69/x
  3. Step 3: Cross multiply
    471.28x = 619.69 × 619.69
  4. Step 4: Simplify right side
    471.28x = 384,012.60
  5. Step 5: Solve for x
    x = 384,012.60/471.28
  6. Step 6: Final answer
    x = 814.83

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.