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Finding the Third Proportional to 1,280,947.50 and 2,772,279

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Solution

The third proportional to 1,280,947.50 and 2,772,279 is: 5,999,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,947.50 : 2,772,279 = 2,772,279 : x
  2. Step 2: Convert to fraction form
    1,280,947.50/2,772,279 = 2,772,279/x
  3. Step 3: Cross multiply
    1,280,947.50x = 2,772,279 × 2,772,279
  4. Step 4: Simplify right side
    1,280,947.50x = 7,685,530,853,841
  5. Step 5: Solve for x
    x = 7,685,530,853,841/1,280,947.50
  6. Step 6: Final answer
    x = 5,999,879.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.