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Finding the Third Proportional to 78,831.56 and 117,963.84

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Solution

The third proportional to 78,831.56 and 117,963.84 is: 176,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,831.56 : 117,963.84 = 117,963.84 : x
  2. Step 2: Convert to fraction form
    78,831.56/117,963.84 = 117,963.84/x
  3. Step 3: Cross multiply
    78,831.56x = 117,963.84 × 117,963.84
  4. Step 4: Simplify right side
    78,831.56x = 13,915,468,432.27
  5. Step 5: Solve for x
    x = 13,915,468,432.27/78,831.56
  6. Step 6: Final answer
    x = 176,521.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.