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Finding the Third Proportional to 178,114.50 and 275,440.50

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Solution

The third proportional to 178,114.50 and 275,440.50 is: 425,947.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,114.50 : 275,440.50 = 275,440.50 : x
  2. Step 2: Convert to fraction form
    178,114.50/275,440.50 = 275,440.50/x
  3. Step 3: Cross multiply
    178,114.50x = 275,440.50 × 275,440.50
  4. Step 4: Simplify right side
    178,114.50x = 75,867,469,040.25
  5. Step 5: Solve for x
    x = 75,867,469,040.25/178,114.50
  6. Step 6: Final answer
    x = 425,947.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.