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Finding the Third Proportional to 1,952.06 and 3,163.31

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Solution

The third proportional to 1,952.06 and 3,163.31 is: 5,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.06 : 3,163.31 = 3,163.31 : x
  2. Step 2: Convert to fraction form
    1,952.06/3,163.31 = 3,163.31/x
  3. Step 3: Cross multiply
    1,952.06x = 3,163.31 × 3,163.31
  4. Step 4: Simplify right side
    1,952.06x = 10,006,545.97
  5. Step 5: Solve for x
    x = 10,006,545.97/1,952.06
  6. Step 6: Final answer
    x = 5,126.14

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.