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Finding the Third Proportional to 129,812 and 279,713

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Solution

The third proportional to 129,812 and 279,713 is: 602,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,812 : 279,713 = 279,713 : x
  2. Step 2: Convert to fraction form
    129,812/279,713 = 279,713/x
  3. Step 3: Cross multiply
    129,812x = 279,713 × 279,713
  4. Step 4: Simplify right side
    129,812x = 78,239,362,369
  5. Step 5: Solve for x
    x = 78,239,362,369/129,812
  6. Step 6: Final answer
    x = 602,712.86

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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.