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Finding the Third Proportional to 205,645 and 280,156

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Solution

The third proportional to 205,645 and 280,156 is: 381,664.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,645 : 280,156 = 280,156 : x
  2. Step 2: Convert to fraction form
    205,645/280,156 = 280,156/x
  3. Step 3: Cross multiply
    205,645x = 280,156 × 280,156
  4. Step 4: Simplify right side
    205,645x = 78,487,384,336
  5. Step 5: Solve for x
    x = 78,487,384,336/205,645
  6. Step 6: Final answer
    x = 381,664.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.