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Finding the Third Proportional to 48.19 and 71.91

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Solution

The third proportional to 48.19 and 71.91 is: 107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.19 : 71.91 = 71.91 : x
  2. Step 2: Convert to fraction form
    48.19/71.91 = 71.91/x
  3. Step 3: Cross multiply
    48.19x = 71.91 × 71.91
  4. Step 4: Simplify right side
    48.19x = 5,170.51
  5. Step 5: Solve for x
    x = 5,170.51/48.19
  6. Step 6: Final answer
    x = 107.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.