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Finding the Third Proportional to 99.13 and 210.88

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Solution

The third proportional to 99.13 and 210.88 is: 448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.13 : 210.88 = 210.88 : x
  2. Step 2: Convert to fraction form
    99.13/210.88 = 210.88/x
  3. Step 3: Cross multiply
    99.13x = 210.88 × 210.88
  4. Step 4: Simplify right side
    99.13x = 44,468.27
  5. Step 5: Solve for x
    x = 44,468.27/99.13
  6. Step 6: Final answer
    x = 448.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.