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Finding the Third Proportional to 112,144.50 and 168,338.25

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Solution

The third proportional to 112,144.50 and 168,338.25 is: 252,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,144.50 : 168,338.25 = 168,338.25 : x
  2. Step 2: Convert to fraction form
    112,144.50/168,338.25 = 168,338.25/x
  3. Step 3: Cross multiply
    112,144.50x = 168,338.25 × 168,338.25
  4. Step 4: Simplify right side
    112,144.50x = 28,337,766,413.06
  5. Step 5: Solve for x
    x = 28,337,766,413.06/112,144.50
  6. Step 6: Final answer
    x = 252,689.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.