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Finding the Third Proportional to 97.80 and 212.58

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Solution

The third proportional to 97.80 and 212.58 is: 462.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.80 : 212.58 = 212.58 : x
  2. Step 2: Convert to fraction form
    97.80/212.58 = 212.58/x
  3. Step 3: Cross multiply
    97.80x = 212.58 × 212.58
  4. Step 4: Simplify right side
    97.80x = 45,189.46
  5. Step 5: Solve for x
    x = 45,189.46/97.80
  6. Step 6: Final answer
    x = 462.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.