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Finding the Third Proportional to 96.40 and 200.18

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Solution

The third proportional to 96.40 and 200.18 is: 415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.40 : 200.18 = 200.18 : x
  2. Step 2: Convert to fraction form
    96.40/200.18 = 200.18/x
  3. Step 3: Cross multiply
    96.40x = 200.18 × 200.18
  4. Step 4: Simplify right side
    96.40x = 40,071.91
  5. Step 5: Solve for x
    x = 40,071.91/96.40
  6. Step 6: Final answer
    x = 415.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.