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Finding the Third Proportional to 279,802 and 604,278

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Solution

The third proportional to 279,802 and 604,278 is: 1,305,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,802 : 604,278 = 604,278 : x
  2. Step 2: Convert to fraction form
    279,802/604,278 = 604,278/x
  3. Step 3: Cross multiply
    279,802x = 604,278 × 604,278
  4. Step 4: Simplify right side
    279,802x = 365,151,901,284
  5. Step 5: Solve for x
    x = 365,151,901,284/279,802
  6. Step 6: Final answer
    x = 1,305,036.78

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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.