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Finding the Third Proportional to 78,039 and 167,914.13

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Solution

The third proportional to 78,039 and 167,914.13 is: 361,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,039 : 167,914.13 = 167,914.13 : x
  2. Step 2: Convert to fraction form
    78,039/167,914.13 = 167,914.13/x
  3. Step 3: Cross multiply
    78,039x = 167,914.13 × 167,914.13
  4. Step 4: Simplify right side
    78,039x = 28,195,153,374.52
  5. Step 5: Solve for x
    x = 28,195,153,374.52/78,039
  6. Step 6: Final answer
    x = 361,295.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.