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Finding the Third Proportional to 111,432 and 232,050

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Solution

The third proportional to 111,432 and 232,050 is: 483,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,432 : 232,050 = 232,050 : x
  2. Step 2: Convert to fraction form
    111,432/232,050 = 232,050/x
  3. Step 3: Cross multiply
    111,432x = 232,050 × 232,050
  4. Step 4: Simplify right side
    111,432x = 53,847,202,500
  5. Step 5: Solve for x
    x = 53,847,202,500/111,432
  6. Step 6: Final answer
    x = 483,229.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.