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Finding the Third Proportional to 99.87 and 208.92

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Solution

The third proportional to 99.87 and 208.92 is: 437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.87 : 208.92 = 208.92 : x
  2. Step 2: Convert to fraction form
    99.87/208.92 = 208.92/x
  3. Step 3: Cross multiply
    99.87x = 208.92 × 208.92
  4. Step 4: Simplify right side
    99.87x = 43,648.35
  5. Step 5: Solve for x
    x = 43,648.35/99.87
  6. Step 6: Final answer
    x = 437.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.