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Finding the Third Proportional to 111,039 and 145,785

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Solution

The third proportional to 111,039 and 145,785 is: 191,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,039 : 145,785 = 145,785 : x
  2. Step 2: Convert to fraction form
    111,039/145,785 = 145,785/x
  3. Step 3: Cross multiply
    111,039x = 145,785 × 145,785
  4. Step 4: Simplify right side
    111,039x = 21,253,266,225
  5. Step 5: Solve for x
    x = 21,253,266,225/111,039
  6. Step 6: Final answer
    x = 191,403.62

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.