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Finding the Third Proportional to 200,416 and 280,209

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Solution

The third proportional to 200,416 and 280,209 is: 391,770.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,416 : 280,209 = 280,209 : x
  2. Step 2: Convert to fraction form
    200,416/280,209 = 280,209/x
  3. Step 3: Cross multiply
    200,416x = 280,209 × 280,209
  4. Step 4: Simplify right side
    200,416x = 78,517,083,681
  5. Step 5: Solve for x
    x = 78,517,083,681/200,416
  6. Step 6: Final answer
    x = 391,770.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.