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Finding the Third Proportional to 48.20 and 101.99

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Solution

The third proportional to 48.20 and 101.99 is: 215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.20 : 101.99 = 101.99 : x
  2. Step 2: Convert to fraction form
    48.20/101.99 = 101.99/x
  3. Step 3: Cross multiply
    48.20x = 101.99 × 101.99
  4. Step 4: Simplify right side
    48.20x = 10,401.61
  5. Step 5: Solve for x
    x = 10,401.61/48.20
  6. Step 6: Final answer
    x = 215.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.