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Finding the Third Proportional to 77,986.13 and 159,659.81

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Solution

The third proportional to 77,986.13 and 159,659.81 is: 326,869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,986.13 : 159,659.81 = 159,659.81 : x
  2. Step 2: Convert to fraction form
    77,986.13/159,659.81 = 159,659.81/x
  3. Step 3: Cross multiply
    77,986.13x = 159,659.81 × 159,659.81
  4. Step 4: Simplify right side
    77,986.13x = 25,491,255,727.54
  5. Step 5: Solve for x
    x = 25,491,255,727.54/77,986.13
  6. Step 6: Final answer
    x = 326,869.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.