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Finding the Third Proportional to 408,974 and 874,808

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Solution

The third proportional to 408,974 and 874,808 is: 1,871,241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,974 : 874,808 = 874,808 : x
  2. Step 2: Convert to fraction form
    408,974/874,808 = 874,808/x
  3. Step 3: Cross multiply
    408,974x = 874,808 × 874,808
  4. Step 4: Simplify right side
    408,974x = 765,289,036,864
  5. Step 5: Solve for x
    x = 765,289,036,864/408,974
  6. Step 6: Final answer
    x = 1,871,241.29

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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.