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Finding the Third Proportional to 1,206,876 and 2,512,957.50

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Solution

The third proportional to 1,206,876 and 2,512,957.50 is: 5,232,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,876 : 2,512,957.50 = 2,512,957.50 : x
  2. Step 2: Convert to fraction form
    1,206,876/2,512,957.50 = 2,512,957.50/x
  3. Step 3: Cross multiply
    1,206,876x = 2,512,957.50 × 2,512,957.50
  4. Step 4: Simplify right side
    1,206,876x = 6,314,955,396,806.25
  5. Step 5: Solve for x
    x = 6,314,955,396,806.25/1,206,876
  6. Step 6: Final answer
    x = 5,232,480.72

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.