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Finding the Third Proportional to 139,218.50 and 212,091.75

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Solution

The third proportional to 139,218.50 and 212,091.75 is: 323,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,218.50 : 212,091.75 = 212,091.75 : x
  2. Step 2: Convert to fraction form
    139,218.50/212,091.75 = 212,091.75/x
  3. Step 3: Cross multiply
    139,218.50x = 212,091.75 × 212,091.75
  4. Step 4: Simplify right side
    139,218.50x = 44,982,910,418.06
  5. Step 5: Solve for x
    x = 44,982,910,418.06/139,218.50
  6. Step 6: Final answer
    x = 323,110.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.