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Finding the Third Proportional to 217.30 and 468.74

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Solution

The third proportional to 217.30 and 468.74 is: 1,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.30 : 468.74 = 468.74 : x
  2. Step 2: Convert to fraction form
    217.30/468.74 = 468.74/x
  3. Step 3: Cross multiply
    217.30x = 468.74 × 468.74
  4. Step 4: Simplify right side
    217.30x = 219,715.58
  5. Step 5: Solve for x
    x = 219,715.58/217.30
  6. Step 6: Final answer
    x = 1,011.11

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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.