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Finding the Third Proportional to 68.48 and 99.11

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Solution

The third proportional to 68.48 and 99.11 is: 143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.48 : 99.11 = 99.11 : x
  2. Step 2: Convert to fraction form
    68.48/99.11 = 99.11/x
  3. Step 3: Cross multiply
    68.48x = 99.11 × 99.11
  4. Step 4: Simplify right side
    68.48x = 9,823.15
  5. Step 5: Solve for x
    x = 9,823.15/68.48
  6. Step 6: Final answer
    x = 143.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.