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Finding the Third Proportional to 52.05 and 80.21

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Solution

The third proportional to 52.05 and 80.21 is: 123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.05 : 80.21 = 80.21 : x
  2. Step 2: Convert to fraction form
    52.05/80.21 = 80.21/x
  3. Step 3: Cross multiply
    52.05x = 80.21 × 80.21
  4. Step 4: Simplify right side
    52.05x = 6,433.48
  5. Step 5: Solve for x
    x = 6,433.48/52.05
  6. Step 6: Final answer
    x = 123.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.