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Finding the Third Proportional to 259.24 and 401.41

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Solution

The third proportional to 259.24 and 401.41 is: 621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.24 : 401.41 = 401.41 : x
  2. Step 2: Convert to fraction form
    259.24/401.41 = 401.41/x
  3. Step 3: Cross multiply
    259.24x = 401.41 × 401.41
  4. Step 4: Simplify right side
    259.24x = 161,133.25
  5. Step 5: Solve for x
    x = 161,133.25/259.24
  6. Step 6: Final answer
    x = 621.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.