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Finding the Third Proportional to 189,518 and 412,442

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Solution

The third proportional to 189,518 and 412,442 is: 897,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,518 : 412,442 = 412,442 : x
  2. Step 2: Convert to fraction form
    189,518/412,442 = 412,442/x
  3. Step 3: Cross multiply
    189,518x = 412,442 × 412,442
  4. Step 4: Simplify right side
    189,518x = 170,108,403,364
  5. Step 5: Solve for x
    x = 170,108,403,364/189,518
  6. Step 6: Final answer
    x = 897,584.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.