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Finding the Third Proportional to 412,544 and 879,040

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Solution

The third proportional to 412,544 and 879,040 is: 1,873,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,544 : 879,040 = 879,040 : x
  2. Step 2: Convert to fraction form
    412,544/879,040 = 879,040/x
  3. Step 3: Cross multiply
    412,544x = 879,040 × 879,040
  4. Step 4: Simplify right side
    412,544x = 772,711,321,600
  5. Step 5: Solve for x
    x = 772,711,321,600/412,544
  6. Step 6: Final answer
    x = 1,873,039.78

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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.