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Finding the Third Proportional to 412,822.69 and 853,963.88

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Solution

The third proportional to 412,822.69 and 853,963.88 is: 1,766,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,822.69 : 853,963.88 = 853,963.88 : x
  2. Step 2: Convert to fraction form
    412,822.69/853,963.88 = 853,963.88/x
  3. Step 3: Cross multiply
    412,822.69x = 853,963.88 × 853,963.88
  4. Step 4: Simplify right side
    412,822.69x = 729,254,299,805.02
  5. Step 5: Solve for x
    x = 729,254,299,805.02/412,822.69
  6. Step 6: Final answer
    x = 1,766,507.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.