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Finding the Third Proportional to 85,821 and 179,489

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Solution

The third proportional to 85,821 and 179,489 is: 375,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,821 : 179,489 = 179,489 : x
  2. Step 2: Convert to fraction form
    85,821/179,489 = 179,489/x
  3. Step 3: Cross multiply
    85,821x = 179,489 × 179,489
  4. Step 4: Simplify right side
    85,821x = 32,216,301,121
  5. Step 5: Solve for x
    x = 32,216,301,121/85,821
  6. Step 6: Final answer
    x = 375,389.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.