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Finding the Third Proportional to 98.61 and 212.47

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Solution

The third proportional to 98.61 and 212.47 is: 457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.61 : 212.47 = 212.47 : x
  2. Step 2: Convert to fraction form
    98.61/212.47 = 212.47/x
  3. Step 3: Cross multiply
    98.61x = 212.47 × 212.47
  4. Step 4: Simplify right side
    98.61x = 45,142.14
  5. Step 5: Solve for x
    x = 45,142.14/98.61
  6. Step 6: Final answer
    x = 457.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.