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Finding the Third Proportional to 48.87 and 70.42

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Solution

The third proportional to 48.87 and 70.42 is: 101.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.87 : 70.42 = 70.42 : x
  2. Step 2: Convert to fraction form
    48.87/70.42 = 70.42/x
  3. Step 3: Cross multiply
    48.87x = 70.42 × 70.42
  4. Step 4: Simplify right side
    48.87x = 4,958.69
  5. Step 5: Solve for x
    x = 4,958.69/48.87
  6. Step 6: Final answer
    x = 101.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.