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Finding the Third Proportional to 48.10 and 62.80

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Solution

The third proportional to 48.10 and 62.80 is: 81.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.10 : 62.80 = 62.80 : x
  2. Step 2: Convert to fraction form
    48.10/62.80 = 62.80/x
  3. Step 3: Cross multiply
    48.10x = 62.80 × 62.80
  4. Step 4: Simplify right side
    48.10x = 3,943.55
  5. Step 5: Solve for x
    x = 3,943.55/48.10
  6. Step 6: Final answer
    x = 81.99

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.