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Finding the Third Proportional to 122,919 and 185,502.75

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Solution

The third proportional to 122,919 and 185,502.75 is: 279,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,919 : 185,502.75 = 185,502.75 : x
  2. Step 2: Convert to fraction form
    122,919/185,502.75 = 185,502.75/x
  3. Step 3: Cross multiply
    122,919x = 185,502.75 × 185,502.75
  4. Step 4: Simplify right side
    122,919x = 34,411,270,257.56
  5. Step 5: Solve for x
    x = 34,411,270,257.56/122,919
  6. Step 6: Final answer
    x = 279,950.78

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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.