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Finding the Third Proportional to 415,406 and 622,415

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Solution

The third proportional to 415,406 and 622,415 is: 932,582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,406 : 622,415 = 622,415 : x
  2. Step 2: Convert to fraction form
    415,406/622,415 = 622,415/x
  3. Step 3: Cross multiply
    415,406x = 622,415 × 622,415
  4. Step 4: Simplify right side
    415,406x = 387,400,432,225
  5. Step 5: Solve for x
    x = 387,400,432,225/415,406
  6. Step 6: Final answer
    x = 932,582.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.