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Finding the Third Proportional to 40.01 and 45.20

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Solution

The third proportional to 40.01 and 45.20 is: 51.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.01 : 45.20 = 45.20 : x
  2. Step 2: Convert to fraction form
    40.01/45.20 = 45.20/x
  3. Step 3: Cross multiply
    40.01x = 45.20 × 45.20
  4. Step 4: Simplify right side
    40.01x = 2,043.20
  5. Step 5: Solve for x
    x = 2,043.20/40.01
  6. Step 6: Final answer
    x = 51.07

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.