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Finding the Third Proportional to 223.24 and 478.55

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Solution

The third proportional to 223.24 and 478.55 is: 1,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.24 : 478.55 = 478.55 : x
  2. Step 2: Convert to fraction form
    223.24/478.55 = 478.55/x
  3. Step 3: Cross multiply
    223.24x = 478.55 × 478.55
  4. Step 4: Simplify right side
    223.24x = 229,007.11
  5. Step 5: Solve for x
    x = 229,007.11/223.24
  6. Step 6: Final answer
    x = 1,025.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.