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Finding the Third Proportional to 39,831.75 and 54,123.19

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Solution

The third proportional to 39,831.75 and 54,123.19 is: 73,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,831.75 : 54,123.19 = 54,123.19 : x
  2. Step 2: Convert to fraction form
    39,831.75/54,123.19 = 54,123.19/x
  3. Step 3: Cross multiply
    39,831.75x = 54,123.19 × 54,123.19
  4. Step 4: Simplify right side
    39,831.75x = 2,929,319,425.16
  5. Step 5: Solve for x
    x = 2,929,319,425.16/39,831.75
  6. Step 6: Final answer
    x = 73,542.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.