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Finding the Third Proportional to 179,640 and 299,383

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Solution

The third proportional to 179,640 and 299,383 is: 498,943.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,640 : 299,383 = 299,383 : x
  2. Step 2: Convert to fraction form
    179,640/299,383 = 299,383/x
  3. Step 3: Cross multiply
    179,640x = 299,383 × 299,383
  4. Step 4: Simplify right side
    179,640x = 89,630,180,689
  5. Step 5: Solve for x
    x = 89,630,180,689/179,640
  6. Step 6: Final answer
    x = 498,943.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.