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Finding the Third Proportional to 279,436 and 442,668

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Solution

The third proportional to 279,436 and 442,668 is: 701,251.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,436 : 442,668 = 442,668 : x
  2. Step 2: Convert to fraction form
    279,436/442,668 = 442,668/x
  3. Step 3: Cross multiply
    279,436x = 442,668 × 442,668
  4. Step 4: Simplify right side
    279,436x = 195,954,958,224
  5. Step 5: Solve for x
    x = 195,954,958,224/279,436
  6. Step 6: Final answer
    x = 701,251.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.