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Finding the Third Proportional to 131,720 and 279,116

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Solution

The third proportional to 131,720 and 279,116 is: 591,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,720 : 279,116 = 279,116 : x
  2. Step 2: Convert to fraction form
    131,720/279,116 = 279,116/x
  3. Step 3: Cross multiply
    131,720x = 279,116 × 279,116
  4. Step 4: Simplify right side
    131,720x = 77,905,741,456
  5. Step 5: Solve for x
    x = 77,905,741,456/131,720
  6. Step 6: Final answer
    x = 591,449.60

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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.