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Finding the Third Proportional to 219.85 and 464.92

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Solution

The third proportional to 219.85 and 464.92 is: 983.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.85 : 464.92 = 464.92 : x
  2. Step 2: Convert to fraction form
    219.85/464.92 = 464.92/x
  3. Step 3: Cross multiply
    219.85x = 464.92 × 464.92
  4. Step 4: Simplify right side
    219.85x = 216,154.68
  5. Step 5: Solve for x
    x = 216,154.68/219.85
  6. Step 6: Final answer
    x = 983.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.