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Finding the Third Proportional to 189,612 and 400,608

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Solution

The third proportional to 189,612 and 400,608 is: 846,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,612 : 400,608 = 400,608 : x
  2. Step 2: Convert to fraction form
    189,612/400,608 = 400,608/x
  3. Step 3: Cross multiply
    189,612x = 400,608 × 400,608
  4. Step 4: Simplify right side
    189,612x = 160,486,769,664
  5. Step 5: Solve for x
    x = 160,486,769,664/189,612
  6. Step 6: Final answer
    x = 846,395.64

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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.