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Finding the Third Proportional to 97.29 and 212.86

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Solution

The third proportional to 97.29 and 212.86 is: 465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.29 : 212.86 = 212.86 : x
  2. Step 2: Convert to fraction form
    97.29/212.86 = 212.86/x
  3. Step 3: Cross multiply
    97.29x = 212.86 × 212.86
  4. Step 4: Simplify right side
    97.29x = 45,310.36
  5. Step 5: Solve for x
    x = 45,310.36/97.29
  6. Step 6: Final answer
    x = 465.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.