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Finding the Third Proportional to 200,010 and 281,340

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Solution

The third proportional to 200,010 and 281,340 is: 395,741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,010 : 281,340 = 281,340 : x
  2. Step 2: Convert to fraction form
    200,010/281,340 = 281,340/x
  3. Step 3: Cross multiply
    200,010x = 281,340 × 281,340
  4. Step 4: Simplify right side
    200,010x = 79,152,195,600
  5. Step 5: Solve for x
    x = 79,152,195,600/200,010
  6. Step 6: Final answer
    x = 395,741.19

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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.