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Finding the Third Proportional to 279,498 and 395,109

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Solution

The third proportional to 279,498 and 395,109 is: 558,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,498 : 395,109 = 395,109 : x
  2. Step 2: Convert to fraction form
    279,498/395,109 = 395,109/x
  3. Step 3: Cross multiply
    279,498x = 395,109 × 395,109
  4. Step 4: Simplify right side
    279,498x = 156,111,121,881
  5. Step 5: Solve for x
    x = 156,111,121,881/279,498
  6. Step 6: Final answer
    x = 558,541.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.