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Finding the Third Proportional to 78,042.75 and 167,921.25

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Solution

The third proportional to 78,042.75 and 167,921.25 is: 361,308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,042.75 : 167,921.25 = 167,921.25 : x
  2. Step 2: Convert to fraction form
    78,042.75/167,921.25 = 167,921.25/x
  3. Step 3: Cross multiply
    78,042.75x = 167,921.25 × 167,921.25
  4. Step 4: Simplify right side
    78,042.75x = 28,197,546,201.56
  5. Step 5: Solve for x
    x = 28,197,546,201.56/78,042.75
  6. Step 6: Final answer
    x = 361,308.98

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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.