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Finding the Third Proportional to 299,323.97 and 642,934.69

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Solution

The third proportional to 299,323.97 and 642,934.69 is: 1,380,995.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,323.97 : 642,934.69 = 642,934.69 : x
  2. Step 2: Convert to fraction form
    299,323.97/642,934.69 = 642,934.69/x
  3. Step 3: Cross multiply
    299,323.97x = 642,934.69 × 642,934.69
  4. Step 4: Simplify right side
    299,323.97x = 413,365,012,390.72
  5. Step 5: Solve for x
    x = 413,365,012,390.72/299,323.97
  6. Step 6: Final answer
    x = 1,380,995.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.