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Finding the Third Proportional to 200,137 and 478,380

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Solution

The third proportional to 200,137 and 478,380 is: 1,143,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,137 : 478,380 = 478,380 : x
  2. Step 2: Convert to fraction form
    200,137/478,380 = 478,380/x
  3. Step 3: Cross multiply
    200,137x = 478,380 × 478,380
  4. Step 4: Simplify right side
    200,137x = 228,847,424,400
  5. Step 5: Solve for x
    x = 228,847,424,400/200,137
  6. Step 6: Final answer
    x = 1,143,453.86

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.