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Finding the Third Proportional to 412,878.66 and 906,949.69

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Solution

The third proportional to 412,878.66 and 906,949.69 is: 1,992,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,878.66 : 906,949.69 = 906,949.69 : x
  2. Step 2: Convert to fraction form
    412,878.66/906,949.69 = 906,949.69/x
  3. Step 3: Cross multiply
    412,878.66x = 906,949.69 × 906,949.69
  4. Step 4: Simplify right side
    412,878.66x = 822,557,735,656.35
  5. Step 5: Solve for x
    x = 822,557,735,656.35/412,878.66
  6. Step 6: Final answer
    x = 1,992,250.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.