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Finding the Third Proportional to 120,078 and 278,001

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Solution

The third proportional to 120,078 and 278,001 is: 643,619.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,078 : 278,001 = 278,001 : x
  2. Step 2: Convert to fraction form
    120,078/278,001 = 278,001/x
  3. Step 3: Cross multiply
    120,078x = 278,001 × 278,001
  4. Step 4: Simplify right side
    120,078x = 77,284,556,001
  5. Step 5: Solve for x
    x = 77,284,556,001/120,078
  6. Step 6: Final answer
    x = 643,619.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.