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Finding the Third Proportional to 1,288,988.44 and 2,809,105.31

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Solution

The third proportional to 1,288,988.44 and 2,809,105.31 is: 6,121,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,988.44 : 2,809,105.31 = 2,809,105.31 : x
  2. Step 2: Convert to fraction form
    1,288,988.44/2,809,105.31 = 2,809,105.31/x
  3. Step 3: Cross multiply
    1,288,988.44x = 2,809,105.31 × 2,809,105.31
  4. Step 4: Simplify right side
    1,288,988.44x = 7,891,072,656,715.72
  5. Step 5: Solve for x
    x = 7,891,072,656,715.72/1,288,988.44
  6. Step 6: Final answer
    x = 6,121,911.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.