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Finding the Third Proportional to 170,867 and 374,643

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Solution

The third proportional to 170,867 and 374,643 is: 821,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,867 : 374,643 = 374,643 : x
  2. Step 2: Convert to fraction form
    170,867/374,643 = 374,643/x
  3. Step 3: Cross multiply
    170,867x = 374,643 × 374,643
  4. Step 4: Simplify right side
    170,867x = 140,357,377,449
  5. Step 5: Solve for x
    x = 140,357,377,449/170,867
  6. Step 6: Final answer
    x = 821,442.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.