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Finding the Third Proportional to 262.50 and 399.19

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Solution

The third proportional to 262.50 and 399.19 is: 607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.50 : 399.19 = 399.19 : x
  2. Step 2: Convert to fraction form
    262.50/399.19 = 399.19/x
  3. Step 3: Cross multiply
    262.50x = 399.19 × 399.19
  4. Step 4: Simplify right side
    262.50x = 159,350.66
  5. Step 5: Solve for x
    x = 159,350.66/262.50
  6. Step 6: Final answer
    x = 607.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.