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Finding the Third Proportional to 57,450.75 and 85,831.88

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Solution

The third proportional to 57,450.75 and 85,831.88 is: 128,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,450.75 : 85,831.88 = 85,831.88 : x
  2. Step 2: Convert to fraction form
    57,450.75/85,831.88 = 85,831.88/x
  3. Step 3: Cross multiply
    57,450.75x = 85,831.88 × 85,831.88
  4. Step 4: Simplify right side
    57,450.75x = 7,367,110,766.02
  5. Step 5: Solve for x
    x = 7,367,110,766.02/57,450.75
  6. Step 6: Final answer
    x = 128,233.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.