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Finding the Third Proportional to 408,974 and 873,612

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Solution

The third proportional to 408,974 and 873,612 is: 1,866,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,974 : 873,612 = 873,612 : x
  2. Step 2: Convert to fraction form
    408,974/873,612 = 873,612/x
  3. Step 3: Cross multiply
    408,974x = 873,612 × 873,612
  4. Step 4: Simplify right side
    408,974x = 763,197,926,544
  5. Step 5: Solve for x
    x = 763,197,926,544/408,974
  6. Step 6: Final answer
    x = 1,866,128.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.