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Finding the Third Proportional to 101,939 and 217,000

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Solution

The third proportional to 101,939 and 217,000 is: 461,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,939 : 217,000 = 217,000 : x
  2. Step 2: Convert to fraction form
    101,939/217,000 = 217,000/x
  3. Step 3: Cross multiply
    101,939x = 217,000 × 217,000
  4. Step 4: Simplify right side
    101,939x = 47,089,000,000
  5. Step 5: Solve for x
    x = 47,089,000,000/101,939
  6. Step 6: Final answer
    x = 461,933.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.