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Finding the Third Proportional to 76,942 and 115,919

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Solution

The third proportional to 76,942 and 115,919 is: 174,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,942 : 115,919 = 115,919 : x
  2. Step 2: Convert to fraction form
    76,942/115,919 = 115,919/x
  3. Step 3: Cross multiply
    76,942x = 115,919 × 115,919
  4. Step 4: Simplify right side
    76,942x = 13,437,214,561
  5. Step 5: Solve for x
    x = 13,437,214,561/76,942
  6. Step 6: Final answer
    x = 174,640.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.