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Finding the Third Proportional to 415,380 and 622,378

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Solution

The third proportional to 415,380 and 622,378 is: 932,530.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,380 : 622,378 = 622,378 : x
  2. Step 2: Convert to fraction form
    415,380/622,378 = 622,378/x
  3. Step 3: Cross multiply
    415,380x = 622,378 × 622,378
  4. Step 4: Simplify right side
    415,380x = 387,354,374,884
  5. Step 5: Solve for x
    x = 387,354,374,884/415,380
  6. Step 6: Final answer
    x = 932,530.15

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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.