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Finding the Third Proportional to 111,115 and 239,604.50

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Solution

The third proportional to 111,115 and 239,604.50 is: 516,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,115 : 239,604.50 = 239,604.50 : x
  2. Step 2: Convert to fraction form
    111,115/239,604.50 = 239,604.50/x
  3. Step 3: Cross multiply
    111,115x = 239,604.50 × 239,604.50
  4. Step 4: Simplify right side
    111,115x = 57,410,316,420.25
  5. Step 5: Solve for x
    x = 57,410,316,420.25/111,115
  6. Step 6: Final answer
    x = 516,674.76

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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.