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Finding the Third Proportional to 218.13 and 474.78

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Solution

The third proportional to 218.13 and 474.78 is: 1,033.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.13 : 474.78 = 474.78 : x
  2. Step 2: Convert to fraction form
    218.13/474.78 = 474.78/x
  3. Step 3: Cross multiply
    218.13x = 474.78 × 474.78
  4. Step 4: Simplify right side
    218.13x = 225,417.24
  5. Step 5: Solve for x
    x = 225,417.24/218.13
  6. Step 6: Final answer
    x = 1,033.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.