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Finding the Third Proportional to 118,474 and 279,679

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Solution

The third proportional to 118,474 and 279,679 is: 660,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,474 : 279,679 = 279,679 : x
  2. Step 2: Convert to fraction form
    118,474/279,679 = 279,679/x
  3. Step 3: Cross multiply
    118,474x = 279,679 × 279,679
  4. Step 4: Simplify right side
    118,474x = 78,220,343,041
  5. Step 5: Solve for x
    x = 78,220,343,041/118,474
  6. Step 6: Final answer
    x = 660,232.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.