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Finding the Third Proportional to 111,375 and 239,985

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Solution

The third proportional to 111,375 and 239,985 is: 517,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,375 : 239,985 = 239,985 : x
  2. Step 2: Convert to fraction form
    111,375/239,985 = 239,985/x
  3. Step 3: Cross multiply
    111,375x = 239,985 × 239,985
  4. Step 4: Simplify right side
    111,375x = 57,592,800,225
  5. Step 5: Solve for x
    x = 57,592,800,225/111,375
  6. Step 6: Final answer
    x = 517,107.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.