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Finding the Third Proportional to 170,856 and 374,620

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Solution

The third proportional to 170,856 and 374,620 is: 821,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,856 : 374,620 = 374,620 : x
  2. Step 2: Convert to fraction form
    170,856/374,620 = 374,620/x
  3. Step 3: Cross multiply
    170,856x = 374,620 × 374,620
  4. Step 4: Simplify right side
    170,856x = 140,340,144,400
  5. Step 5: Solve for x
    x = 140,340,144,400/170,856
  6. Step 6: Final answer
    x = 821,394.30

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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.