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Finding the Third Proportional to 190,616 and 280,377

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Solution

The third proportional to 190,616 and 280,377 is: 412,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,616 : 280,377 = 280,377 : x
  2. Step 2: Convert to fraction form
    190,616/280,377 = 280,377/x
  3. Step 3: Cross multiply
    190,616x = 280,377 × 280,377
  4. Step 4: Simplify right side
    190,616x = 78,611,262,129
  5. Step 5: Solve for x
    x = 78,611,262,129/190,616
  6. Step 6: Final answer
    x = 412,406.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.