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Finding the Third Proportional to 219.34 and 472.85

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Solution

The third proportional to 219.34 and 472.85 is: 1,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.34 : 472.85 = 472.85 : x
  2. Step 2: Convert to fraction form
    219.34/472.85 = 472.85/x
  3. Step 3: Cross multiply
    219.34x = 472.85 × 472.85
  4. Step 4: Simplify right side
    219.34x = 223,588.60
  5. Step 5: Solve for x
    x = 223,588.60/219.34
  6. Step 6: Final answer
    x = 1,019.37

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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.