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Finding the Third Proportional to 111,727.75 and 156,285.13

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Solution

The third proportional to 111,727.75 and 156,285.13 is: 218,612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,727.75 : 156,285.13 = 156,285.13 : x
  2. Step 2: Convert to fraction form
    111,727.75/156,285.13 = 156,285.13/x
  3. Step 3: Cross multiply
    111,727.75x = 156,285.13 × 156,285.13
  4. Step 4: Simplify right side
    111,727.75x = 24,425,040,296.27
  5. Step 5: Solve for x
    x = 24,425,040,296.27/111,727.75
  6. Step 6: Final answer
    x = 218,612.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.