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Finding the Third Proportional to 393,588 and 852,408

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Solution

The third proportional to 393,588 and 852,408 is: 1,846,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,588 : 852,408 = 852,408 : x
  2. Step 2: Convert to fraction form
    393,588/852,408 = 852,408/x
  3. Step 3: Cross multiply
    393,588x = 852,408 × 852,408
  4. Step 4: Simplify right side
    393,588x = 726,599,398,464
  5. Step 5: Solve for x
    x = 726,599,398,464/393,588
  6. Step 6: Final answer
    x = 1,846,091.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.