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Finding the Third Proportional to 393,840 and 866,408

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Solution

The third proportional to 393,840 and 866,408 is: 1,906,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,840 : 866,408 = 866,408 : x
  2. Step 2: Convert to fraction form
    393,840/866,408 = 866,408/x
  3. Step 3: Cross multiply
    393,840x = 866,408 × 866,408
  4. Step 4: Simplify right side
    393,840x = 750,662,822,464
  5. Step 5: Solve for x
    x = 750,662,822,464/393,840
  6. Step 6: Final answer
    x = 1,906,009.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.