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Finding the Third Proportional to 120,175.50 and 278,199.50

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Solution

The third proportional to 120,175.50 and 278,199.50 is: 644,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,175.50 : 278,199.50 = 278,199.50 : x
  2. Step 2: Convert to fraction form
    120,175.50/278,199.50 = 278,199.50/x
  3. Step 3: Cross multiply
    120,175.50x = 278,199.50 × 278,199.50
  4. Step 4: Simplify right side
    120,175.50x = 77,394,961,800.25
  5. Step 5: Solve for x
    x = 77,394,961,800.25/120,175.50
  6. Step 6: Final answer
    x = 644,016.14

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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.