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Finding the Third Proportional to 111,119 and 239,613

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Solution

The third proportional to 111,119 and 239,613 is: 516,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,119 : 239,613 = 239,613 : x
  2. Step 2: Convert to fraction form
    111,119/239,613 = 239,613/x
  3. Step 3: Cross multiply
    111,119x = 239,613 × 239,613
  4. Step 4: Simplify right side
    111,119x = 57,414,389,769
  5. Step 5: Solve for x
    x = 57,414,389,769/111,119
  6. Step 6: Final answer
    x = 516,692.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.