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Finding the Third Proportional to 122,823 and 187,785

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Solution

The third proportional to 122,823 and 187,785 is: 287,105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,823 : 187,785 = 187,785 : x
  2. Step 2: Convert to fraction form
    122,823/187,785 = 187,785/x
  3. Step 3: Cross multiply
    122,823x = 187,785 × 187,785
  4. Step 4: Simplify right side
    122,823x = 35,263,206,225
  5. Step 5: Solve for x
    x = 35,263,206,225/122,823
  6. Step 6: Final answer
    x = 287,105.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.