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Finding the Third Proportional to 279,806 and 604,286

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Solution

The third proportional to 279,806 and 604,286 is: 1,305,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,806 : 604,286 = 604,286 : x
  2. Step 2: Convert to fraction form
    279,806/604,286 = 604,286/x
  3. Step 3: Cross multiply
    279,806x = 604,286 × 604,286
  4. Step 4: Simplify right side
    279,806x = 365,161,569,796
  5. Step 5: Solve for x
    x = 365,161,569,796/279,806
  6. Step 6: Final answer
    x = 1,305,052.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.