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Finding the Third Proportional to 129,974 and 279,292

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Solution

The third proportional to 129,974 and 279,292 is: 600,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,974 : 279,292 = 279,292 : x
  2. Step 2: Convert to fraction form
    129,974/279,292 = 279,292/x
  3. Step 3: Cross multiply
    129,974x = 279,292 × 279,292
  4. Step 4: Simplify right side
    129,974x = 78,004,021,264
  5. Step 5: Solve for x
    x = 78,004,021,264/129,974
  6. Step 6: Final answer
    x = 600,150.96

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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.