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Finding the Third Proportional to 118,585 and 279,923

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Solution

The third proportional to 118,585 and 279,923 is: 660,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,585 : 279,923 = 279,923 : x
  2. Step 2: Convert to fraction form
    118,585/279,923 = 279,923/x
  3. Step 3: Cross multiply
    118,585x = 279,923 × 279,923
  4. Step 4: Simplify right side
    118,585x = 78,356,885,929
  5. Step 5: Solve for x
    x = 78,356,885,929/118,585
  6. Step 6: Final answer
    x = 660,765.58

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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.