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Finding the Third Proportional to 50,711.63 and 78,831.56

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Solution

The third proportional to 50,711.63 and 78,831.56 is: 122,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,711.63 : 78,831.56 = 78,831.56 : x
  2. Step 2: Convert to fraction form
    50,711.63/78,831.56 = 78,831.56/x
  3. Step 3: Cross multiply
    50,711.63x = 78,831.56 × 78,831.56
  4. Step 4: Simplify right side
    50,711.63x = 6,214,415,246.19
  5. Step 5: Solve for x
    x = 6,214,415,246.19/50,711.63
  6. Step 6: Final answer
    x = 122,544.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.