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Finding the Third Proportional to 49.88 and 69.63

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Solution

The third proportional to 49.88 and 69.63 is: 97.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.88 : 69.63 = 69.63 : x
  2. Step 2: Convert to fraction form
    49.88/69.63 = 69.63/x
  3. Step 3: Cross multiply
    49.88x = 69.63 × 69.63
  4. Step 4: Simplify right side
    49.88x = 4,847.64
  5. Step 5: Solve for x
    x = 4,847.64/49.88
  6. Step 6: Final answer
    x = 97.20

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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.