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Finding the Third Proportional to 259.31 and 400.03

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Solution

The third proportional to 259.31 and 400.03 is: 617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.31 : 400.03 = 400.03 : x
  2. Step 2: Convert to fraction form
    259.31/400.03 = 400.03/x
  3. Step 3: Cross multiply
    259.31x = 400.03 × 400.03
  4. Step 4: Simplify right side
    259.31x = 160,025.00
  5. Step 5: Solve for x
    x = 160,025.00/259.31
  6. Step 6: Final answer
    x = 617.11

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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.