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Finding the Third Proportional to 259.45 and 401.20

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Solution

The third proportional to 259.45 and 401.20 is: 620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.45 : 401.20 = 401.20 : x
  2. Step 2: Convert to fraction form
    259.45/401.20 = 401.20/x
  3. Step 3: Cross multiply
    259.45x = 401.20 × 401.20
  4. Step 4: Simplify right side
    259.45x = 160,963.95
  5. Step 5: Solve for x
    x = 160,963.95/259.45
  6. Step 6: Final answer
    x = 620.40

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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.