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Finding the Third Proportional to 85,814 and 189,080

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Solution

The third proportional to 85,814 and 189,080 is: 416,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,814 : 189,080 = 189,080 : x
  2. Step 2: Convert to fraction form
    85,814/189,080 = 189,080/x
  3. Step 3: Cross multiply
    85,814x = 189,080 × 189,080
  4. Step 4: Simplify right side
    85,814x = 35,751,246,400
  5. Step 5: Solve for x
    x = 35,751,246,400/85,814
  6. Step 6: Final answer
    x = 416,613.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.