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Finding the Third Proportional to 129,968 and 279,274

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Solution

The third proportional to 129,968 and 279,274 is: 600,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,968 : 279,274 = 279,274 : x
  2. Step 2: Convert to fraction form
    129,968/279,274 = 279,274/x
  3. Step 3: Cross multiply
    129,968x = 279,274 × 279,274
  4. Step 4: Simplify right side
    129,968x = 77,993,967,076
  5. Step 5: Solve for x
    x = 77,993,967,076/129,968
  6. Step 6: Final answer
    x = 600,101.31

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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.