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Finding the Third Proportional to 334,200.38 and 695,940.47

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Solution

The third proportional to 334,200.38 and 695,940.47 is: 1,449,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,200.38 : 695,940.47 = 695,940.47 : x
  2. Step 2: Convert to fraction form
    334,200.38/695,940.47 = 695,940.47/x
  3. Step 3: Cross multiply
    334,200.38x = 695,940.47 × 695,940.47
  4. Step 4: Simplify right side
    334,200.38x = 484,333,136,043.97
  5. Step 5: Solve for x
    x = 484,333,136,043.97/334,200.38
  6. Step 6: Final answer
    x = 1,449,229.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.