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Finding the Third Proportional to 139,821 and 218,013.75

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Solution

The third proportional to 139,821 and 218,013.75 is: 339,934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,821 : 218,013.75 = 218,013.75 : x
  2. Step 2: Convert to fraction form
    139,821/218,013.75 = 218,013.75/x
  3. Step 3: Cross multiply
    139,821x = 218,013.75 × 218,013.75
  4. Step 4: Simplify right side
    139,821x = 47,529,995,189.06
  5. Step 5: Solve for x
    x = 47,529,995,189.06/139,821
  6. Step 6: Final answer
    x = 339,934.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.