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Finding the Third Proportional to 279,817 and 609,286

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Solution

The third proportional to 279,817 and 609,286 is: 1,326,686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,817 : 609,286 = 609,286 : x
  2. Step 2: Convert to fraction form
    279,817/609,286 = 609,286/x
  3. Step 3: Cross multiply
    279,817x = 609,286 × 609,286
  4. Step 4: Simplify right side
    279,817x = 371,229,429,796
  5. Step 5: Solve for x
    x = 371,229,429,796/279,817
  6. Step 6: Final answer
    x = 1,326,686.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.