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Finding the Third Proportional to 181,251 and 391,659

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Solution

The third proportional to 181,251 and 391,659 is: 846,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,251 : 391,659 = 391,659 : x
  2. Step 2: Convert to fraction form
    181,251/391,659 = 391,659/x
  3. Step 3: Cross multiply
    181,251x = 391,659 × 391,659
  4. Step 4: Simplify right side
    181,251x = 153,396,772,281
  5. Step 5: Solve for x
    x = 153,396,772,281/181,251
  6. Step 6: Final answer
    x = 846,322.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.