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Finding the Third Proportional to 200,328 and 299,856

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Solution

The third proportional to 200,328 and 299,856 is: 448,832.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,328 : 299,856 = 299,856 : x
  2. Step 2: Convert to fraction form
    200,328/299,856 = 299,856/x
  3. Step 3: Cross multiply
    200,328x = 299,856 × 299,856
  4. Step 4: Simplify right side
    200,328x = 89,913,620,736
  5. Step 5: Solve for x
    x = 89,913,620,736/200,328
  6. Step 6: Final answer
    x = 448,832.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.