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Finding the Third Proportional to 170,988 and 374,778

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Solution

The third proportional to 170,988 and 374,778 is: 821,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,988 : 374,778 = 374,778 : x
  2. Step 2: Convert to fraction form
    170,988/374,778 = 374,778/x
  3. Step 3: Cross multiply
    170,988x = 374,778 × 374,778
  4. Step 4: Simplify right side
    170,988x = 140,458,549,284
  5. Step 5: Solve for x
    x = 140,458,549,284/170,988
  6. Step 6: Final answer
    x = 821,452.67

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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.