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Finding the Third Proportional to 77,719.50 and 105,963.19

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Solution

The third proportional to 77,719.50 and 105,963.19 is: 144,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,719.50 : 105,963.19 = 105,963.19 : x
  2. Step 2: Convert to fraction form
    77,719.50/105,963.19 = 105,963.19/x
  3. Step 3: Cross multiply
    77,719.50x = 105,963.19 × 105,963.19
  4. Step 4: Simplify right side
    77,719.50x = 11,228,197,105.16
  5. Step 5: Solve for x
    x = 11,228,197,105.16/77,719.50
  6. Step 6: Final answer
    x = 144,470.78

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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.