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Finding the Third Proportional to 111,162 and 243,406

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Solution

The third proportional to 111,162 and 243,406 is: 532,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,162 : 243,406 = 243,406 : x
  2. Step 2: Convert to fraction form
    111,162/243,406 = 243,406/x
  3. Step 3: Cross multiply
    111,162x = 243,406 × 243,406
  4. Step 4: Simplify right side
    111,162x = 59,246,480,836
  5. Step 5: Solve for x
    x = 59,246,480,836/111,162
  6. Step 6: Final answer
    x = 532,974.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.