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Finding the Third Proportional to 200,224 and 309,921

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Solution

The third proportional to 200,224 and 309,921 is: 479,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,224 : 309,921 = 309,921 : x
  2. Step 2: Convert to fraction form
    200,224/309,921 = 309,921/x
  3. Step 3: Cross multiply
    200,224x = 309,921 × 309,921
  4. Step 4: Simplify right side
    200,224x = 96,051,026,241
  5. Step 5: Solve for x
    x = 96,051,026,241/200,224
  6. Step 6: Final answer
    x = 479,717.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.