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Finding the Third Proportional to 101,872.69 and 111,096.56

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Solution

The third proportional to 101,872.69 and 111,096.56 is: 121,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,872.69 : 111,096.56 = 111,096.56 : x
  2. Step 2: Convert to fraction form
    101,872.69/111,096.56 = 111,096.56/x
  3. Step 3: Cross multiply
    101,872.69x = 111,096.56 × 111,096.56
  4. Step 4: Simplify right side
    101,872.69x = 12,342,446,199.32
  5. Step 5: Solve for x
    x = 12,342,446,199.32/101,872.69
  6. Step 6: Final answer
    x = 121,155.60

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.