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Finding the Third Proportional to 49.01 and 68.55

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Solution

The third proportional to 49.01 and 68.55 is: 95.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.01 : 68.55 = 68.55 : x
  2. Step 2: Convert to fraction form
    49.01/68.55 = 68.55/x
  3. Step 3: Cross multiply
    49.01x = 68.55 × 68.55
  4. Step 4: Simplify right side
    49.01x = 4,699.75
  5. Step 5: Solve for x
    x = 4,699.75/49.01
  6. Step 6: Final answer
    x = 95.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.