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Finding the Third Proportional to 406,976 and 881,744

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Solution

The third proportional to 406,976 and 881,744 is: 1,910,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,976 : 881,744 = 881,744 : x
  2. Step 2: Convert to fraction form
    406,976/881,744 = 881,744/x
  3. Step 3: Cross multiply
    406,976x = 881,744 × 881,744
  4. Step 4: Simplify right side
    406,976x = 777,472,481,536
  5. Step 5: Solve for x
    x = 777,472,481,536/406,976
  6. Step 6: Final answer
    x = 1,910,364.45

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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.