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Finding the Third Proportional to 168,386 and 371,908

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Solution

The third proportional to 168,386 and 371,908 is: 821,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,386 : 371,908 = 371,908 : x
  2. Step 2: Convert to fraction form
    168,386/371,908 = 371,908/x
  3. Step 3: Cross multiply
    168,386x = 371,908 × 371,908
  4. Step 4: Simplify right side
    168,386x = 138,315,560,464
  5. Step 5: Solve for x
    x = 138,315,560,464/168,386
  6. Step 6: Final answer
    x = 821,419.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.