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Finding the Third Proportional to 189,972 and 401,400

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Solution

The third proportional to 189,972 and 401,400 is: 848,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,972 : 401,400 = 401,400 : x
  2. Step 2: Convert to fraction form
    189,972/401,400 = 401,400/x
  3. Step 3: Cross multiply
    189,972x = 401,400 × 401,400
  4. Step 4: Simplify right side
    189,972x = 161,121,960,000
  5. Step 5: Solve for x
    x = 161,121,960,000/189,972
  6. Step 6: Final answer
    x = 848,135.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.