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Finding the Third Proportional to 200,007 and 281,335.50

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Solution

The third proportional to 200,007 and 281,335.50 is: 395,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,007 : 281,335.50 = 281,335.50 : x
  2. Step 2: Convert to fraction form
    200,007/281,335.50 = 281,335.50/x
  3. Step 3: Cross multiply
    200,007x = 281,335.50 × 281,335.50
  4. Step 4: Simplify right side
    200,007x = 79,149,663,560.25
  5. Step 5: Solve for x
    x = 79,149,663,560.25/200,007
  6. Step 6: Final answer
    x = 395,734.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.