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Finding the Third Proportional to 412,121.25 and 878,678.44

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Solution

The third proportional to 412,121.25 and 878,678.44 is: 1,873,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,121.25 : 878,678.44 = 878,678.44 : x
  2. Step 2: Convert to fraction form
    412,121.25/878,678.44 = 878,678.44/x
  3. Step 3: Cross multiply
    412,121.25x = 878,678.44 × 878,678.44
  4. Step 4: Simplify right side
    412,121.25x = 772,075,796,527.44
  5. Step 5: Solve for x
    x = 772,075,796,527.44/412,121.25
  6. Step 6: Final answer
    x = 1,873,419.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.