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Finding the Third Proportional to 110,586 and 153,286.50

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Solution

The third proportional to 110,586 and 153,286.50 is: 212,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,586 : 153,286.50 = 153,286.50 : x
  2. Step 2: Convert to fraction form
    110,586/153,286.50 = 153,286.50/x
  3. Step 3: Cross multiply
    110,586x = 153,286.50 × 153,286.50
  4. Step 4: Simplify right side
    110,586x = 23,496,751,082.25
  5. Step 5: Solve for x
    x = 23,496,751,082.25/110,586
  6. Step 6: Final answer
    x = 212,474.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.