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Finding the Third Proportional to 120,168 and 278,181

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Solution

The third proportional to 120,168 and 278,181 is: 643,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,168 : 278,181 = 278,181 : x
  2. Step 2: Convert to fraction form
    120,168/278,181 = 278,181/x
  3. Step 3: Cross multiply
    120,168x = 278,181 × 278,181
  4. Step 4: Simplify right side
    120,168x = 77,384,668,761
  5. Step 5: Solve for x
    x = 77,384,668,761/120,168
  6. Step 6: Final answer
    x = 643,970.68

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.