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Finding the Third Proportional to 189,562 and 400,868

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Solution

The third proportional to 189,562 and 400,868 is: 847,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,562 : 400,868 = 400,868 : x
  2. Step 2: Convert to fraction form
    189,562/400,868 = 400,868/x
  3. Step 3: Cross multiply
    189,562x = 400,868 × 400,868
  4. Step 4: Simplify right side
    189,562x = 160,695,153,424
  5. Step 5: Solve for x
    x = 160,695,153,424/189,562
  6. Step 6: Final answer
    x = 847,718.18

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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.