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Finding the Third Proportional to 129,987 and 279,318

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Solution

The third proportional to 129,987 and 279,318 is: 600,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,987 : 279,318 = 279,318 : x
  2. Step 2: Convert to fraction form
    129,987/279,318 = 279,318/x
  3. Step 3: Cross multiply
    129,987x = 279,318 × 279,318
  4. Step 4: Simplify right side
    129,987x = 78,018,545,124
  5. Step 5: Solve for x
    x = 78,018,545,124/129,987
  6. Step 6: Final answer
    x = 600,202.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.