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Finding the Third Proportional to 31,831.50 and 74,325

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Solution

The third proportional to 31,831.50 and 74,325 is: 173,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,831.50 : 74,325 = 74,325 : x
  2. Step 2: Convert to fraction form
    31,831.50/74,325 = 74,325/x
  3. Step 3: Cross multiply
    31,831.50x = 74,325 × 74,325
  4. Step 4: Simplify right side
    31,831.50x = 5,524,205,625
  5. Step 5: Solve for x
    x = 5,524,205,625/31,831.50
  6. Step 6: Final answer
    x = 173,545.25

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.