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Finding the Third Proportional to 217.78 and 469.76

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Solution

The third proportional to 217.78 and 469.76 is: 1,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.78 : 469.76 = 469.76 : x
  2. Step 2: Convert to fraction form
    217.78/469.76 = 469.76/x
  3. Step 3: Cross multiply
    217.78x = 469.76 × 469.76
  4. Step 4: Simplify right side
    217.78x = 220,672.40
  5. Step 5: Solve for x
    x = 220,672.40/217.78
  6. Step 6: Final answer
    x = 1,013.28

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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.