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Finding the Third Proportional to 131,340 and 279,084

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Solution

The third proportional to 131,340 and 279,084 is: 593,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,340 : 279,084 = 279,084 : x
  2. Step 2: Convert to fraction form
    131,340/279,084 = 279,084/x
  3. Step 3: Cross multiply
    131,340x = 279,084 × 279,084
  4. Step 4: Simplify right side
    131,340x = 77,887,879,056
  5. Step 5: Solve for x
    x = 77,887,879,056/131,340
  6. Step 6: Final answer
    x = 593,024.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.