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Finding the Third Proportional to 279,029 and 404,935

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Solution

The third proportional to 279,029 and 404,935 is: 587,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,029 : 404,935 = 404,935 : x
  2. Step 2: Convert to fraction form
    279,029/404,935 = 404,935/x
  3. Step 3: Cross multiply
    279,029x = 404,935 × 404,935
  4. Step 4: Simplify right side
    279,029x = 163,972,354,225
  5. Step 5: Solve for x
    x = 163,972,354,225/279,029
  6. Step 6: Final answer
    x = 587,653.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.