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Finding the Third Proportional to 200,102 and 281,433

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Solution

The third proportional to 200,102 and 281,433 is: 395,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,102 : 281,433 = 281,433 : x
  2. Step 2: Convert to fraction form
    200,102/281,433 = 281,433/x
  3. Step 3: Cross multiply
    200,102x = 281,433 × 281,433
  4. Step 4: Simplify right side
    200,102x = 79,204,533,489
  5. Step 5: Solve for x
    x = 79,204,533,489/200,102
  6. Step 6: Final answer
    x = 395,820.80

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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.