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Finding the Third Proportional to 838,480.78 and 1,809,730.69

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Solution

The third proportional to 838,480.78 and 1,809,730.69 is: 3,906,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,480.78 : 1,809,730.69 = 1,809,730.69 : x
  2. Step 2: Convert to fraction form
    838,480.78/1,809,730.69 = 1,809,730.69/x
  3. Step 3: Cross multiply
    838,480.78x = 1,809,730.69 × 1,809,730.69
  4. Step 4: Simplify right side
    838,480.78x = 3,275,125,161,279.22
  5. Step 5: Solve for x
    x = 3,275,125,161,279.22/838,480.78
  6. Step 6: Final answer
    x = 3,906,022.93

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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.