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Finding the Third Proportional to 726,383.25 and 1,687,978.13

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Solution

The third proportional to 726,383.25 and 1,687,978.13 is: 3,922,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,383.25 : 1,687,978.13 = 1,687,978.13 : x
  2. Step 2: Convert to fraction form
    726,383.25/1,687,978.13 = 1,687,978.13/x
  3. Step 3: Cross multiply
    726,383.25x = 1,687,978.13 × 1,687,978.13
  4. Step 4: Simplify right side
    726,383.25x = 2,849,270,150,478.52
  5. Step 5: Solve for x
    x = 2,849,270,150,478.52/726,383.25
  6. Step 6: Final answer
    x = 3,922,543.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.