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Finding the Third Proportional to 218.53 and 472.92

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Solution

The third proportional to 218.53 and 472.92 is: 1,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.53 : 472.92 = 472.92 : x
  2. Step 2: Convert to fraction form
    218.53/472.92 = 472.92/x
  3. Step 3: Cross multiply
    218.53x = 472.92 × 472.92
  4. Step 4: Simplify right side
    218.53x = 223,655.10
  5. Step 5: Solve for x
    x = 223,655.10/218.53
  6. Step 6: Final answer
    x = 1,023.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.