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Finding the Third Proportional to 414,296 and 907,638

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Solution

The third proportional to 414,296 and 907,638 is: 1,988,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,296 : 907,638 = 907,638 : x
  2. Step 2: Convert to fraction form
    414,296/907,638 = 907,638/x
  3. Step 3: Cross multiply
    414,296x = 907,638 × 907,638
  4. Step 4: Simplify right side
    414,296x = 823,806,739,044
  5. Step 5: Solve for x
    x = 823,806,739,044/414,296
  6. Step 6: Final answer
    x = 1,988,449.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.