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Finding the Third Proportional to 409,880 and 889,744

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Solution

The third proportional to 409,880 and 889,744 is: 1,931,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,880 : 889,744 = 889,744 : x
  2. Step 2: Convert to fraction form
    409,880/889,744 = 889,744/x
  3. Step 3: Cross multiply
    409,880x = 889,744 × 889,744
  4. Step 4: Simplify right side
    409,880x = 791,644,385,536
  5. Step 5: Solve for x
    x = 791,644,385,536/409,880
  6. Step 6: Final answer
    x = 1,931,405.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.