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Finding the Third Proportional to 200,372.06 and 408,915.84

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Solution

The third proportional to 200,372.06 and 408,915.84 is: 834,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,372.06 : 408,915.84 = 408,915.84 : x
  2. Step 2: Convert to fraction form
    200,372.06/408,915.84 = 408,915.84/x
  3. Step 3: Cross multiply
    200,372.06x = 408,915.84 × 408,915.84
  4. Step 4: Simplify right side
    200,372.06x = 167,212,167,269.77
  5. Step 5: Solve for x
    x = 167,212,167,269.77/200,372.06
  6. Step 6: Final answer
    x = 834,508.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.