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Finding the Third Proportional to 78,921.75 and 167,701.50

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Solution

The third proportional to 78,921.75 and 167,701.50 is: 356,350.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,921.75 : 167,701.50 = 167,701.50 : x
  2. Step 2: Convert to fraction form
    78,921.75/167,701.50 = 167,701.50/x
  3. Step 3: Cross multiply
    78,921.75x = 167,701.50 × 167,701.50
  4. Step 4: Simplify right side
    78,921.75x = 28,123,793,102.25
  5. Step 5: Solve for x
    x = 28,123,793,102.25/78,921.75
  6. Step 6: Final answer
    x = 356,350.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.