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Finding the Third Proportional to 387,198 and 623,781

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Solution

The third proportional to 387,198 and 623,781 is: 1,004,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,198 : 623,781 = 623,781 : x
  2. Step 2: Convert to fraction form
    387,198/623,781 = 623,781/x
  3. Step 3: Cross multiply
    387,198x = 623,781 × 623,781
  4. Step 4: Simplify right side
    387,198x = 389,102,735,961
  5. Step 5: Solve for x
    x = 389,102,735,961/387,198
  6. Step 6: Final answer
    x = 1,004,919.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.