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Finding the Third Proportional to 418,074 and 919,384

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Solution

The third proportional to 418,074 and 919,384 is: 2,021,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,074 : 919,384 = 919,384 : x
  2. Step 2: Convert to fraction form
    418,074/919,384 = 919,384/x
  3. Step 3: Cross multiply
    418,074x = 919,384 × 919,384
  4. Step 4: Simplify right side
    418,074x = 845,266,939,456
  5. Step 5: Solve for x
    x = 845,266,939,456/418,074
  6. Step 6: Final answer
    x = 2,021,811.78

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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.