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Finding the Third Proportional to 78,012 and 159,721.13

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Solution

The third proportional to 78,012 and 159,721.13 is: 327,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,012 : 159,721.13 = 159,721.13 : x
  2. Step 2: Convert to fraction form
    78,012/159,721.13 = 159,721.13/x
  3. Step 3: Cross multiply
    78,012x = 159,721.13 × 159,721.13
  4. Step 4: Simplify right side
    78,012x = 25,510,837,771.27
  5. Step 5: Solve for x
    x = 25,510,837,771.27/78,012
  6. Step 6: Final answer
    x = 327,011.71

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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.