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Finding the Third Proportional to 279,498 and 435,849

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Solution

The third proportional to 279,498 and 435,849 is: 679,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,498 : 435,849 = 435,849 : x
  2. Step 2: Convert to fraction form
    279,498/435,849 = 435,849/x
  3. Step 3: Cross multiply
    279,498x = 435,849 × 435,849
  4. Step 4: Simplify right side
    279,498x = 189,964,350,801
  5. Step 5: Solve for x
    x = 189,964,350,801/279,498
  6. Step 6: Final answer
    x = 679,662.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.