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Finding the Third Proportional to 85,982 and 189,400

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Solution

The third proportional to 85,982 and 189,400 is: 417,207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,982 : 189,400 = 189,400 : x
  2. Step 2: Convert to fraction form
    85,982/189,400 = 189,400/x
  3. Step 3: Cross multiply
    85,982x = 189,400 × 189,400
  4. Step 4: Simplify right side
    85,982x = 35,872,360,000
  5. Step 5: Solve for x
    x = 35,872,360,000/85,982
  6. Step 6: Final answer
    x = 417,207.79

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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.