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Finding the Third Proportional to 408,468 and 897,574

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Solution

The third proportional to 408,468 and 897,574 is: 1,972,343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,468 : 897,574 = 897,574 : x
  2. Step 2: Convert to fraction form
    408,468/897,574 = 897,574/x
  3. Step 3: Cross multiply
    408,468x = 897,574 × 897,574
  4. Step 4: Simplify right side
    408,468x = 805,639,085,476
  5. Step 5: Solve for x
    x = 805,639,085,476/408,468
  6. Step 6: Final answer
    x = 1,972,343.21

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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.