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Finding the Third Proportional to 118,544 and 279,820

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Solution

The third proportional to 118,544 and 279,820 is: 660,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,544 : 279,820 = 279,820 : x
  2. Step 2: Convert to fraction form
    118,544/279,820 = 279,820/x
  3. Step 3: Cross multiply
    118,544x = 279,820 × 279,820
  4. Step 4: Simplify right side
    118,544x = 78,299,232,400
  5. Step 5: Solve for x
    x = 78,299,232,400/118,544
  6. Step 6: Final answer
    x = 660,507.76

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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.