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Finding the Third Proportional to 200,120 and 281,460

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Solution

The third proportional to 200,120 and 281,460 is: 395,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,120 : 281,460 = 281,460 : x
  2. Step 2: Convert to fraction form
    200,120/281,460 = 281,460/x
  3. Step 3: Cross multiply
    200,120x = 281,460 × 281,460
  4. Step 4: Simplify right side
    200,120x = 79,219,731,600
  5. Step 5: Solve for x
    x = 79,219,731,600/200,120
  6. Step 6: Final answer
    x = 395,861.14

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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.