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Finding the Third Proportional to 200,290 and 281,724

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Solution

The third proportional to 200,290 and 281,724 is: 396,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,290 : 281,724 = 281,724 : x
  2. Step 2: Convert to fraction form
    200,290/281,724 = 281,724/x
  3. Step 3: Cross multiply
    200,290x = 281,724 × 281,724
  4. Step 4: Simplify right side
    200,290x = 79,368,412,176
  5. Step 5: Solve for x
    x = 79,368,412,176/200,290
  6. Step 6: Final answer
    x = 396,267.47

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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.