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Finding the Third Proportional to 218.88 and 476.13

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Solution

The third proportional to 218.88 and 476.13 is: 1,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.88 : 476.13 = 476.13 : x
  2. Step 2: Convert to fraction form
    218.88/476.13 = 476.13/x
  3. Step 3: Cross multiply
    218.88x = 476.13 × 476.13
  4. Step 4: Simplify right side
    218.88x = 226,695.02
  5. Step 5: Solve for x
    x = 226,695.02/218.88
  6. Step 6: Final answer
    x = 1,035.73

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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.