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Finding the Third Proportional to 120,442 and 178,923

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Solution

The third proportional to 120,442 and 178,923 is: 265,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,442 : 178,923 = 178,923 : x
  2. Step 2: Convert to fraction form
    120,442/178,923 = 178,923/x
  3. Step 3: Cross multiply
    120,442x = 178,923 × 178,923
  4. Step 4: Simplify right side
    120,442x = 32,013,439,929
  5. Step 5: Solve for x
    x = 32,013,439,929/120,442
  6. Step 6: Final answer
    x = 265,799.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.