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Finding the Third Proportional to 279,859.50 and 422,127

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Solution

The third proportional to 279,859.50 and 422,127 is: 636,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,859.50 : 422,127 = 422,127 : x
  2. Step 2: Convert to fraction form
    279,859.50/422,127 = 422,127/x
  3. Step 3: Cross multiply
    279,859.50x = 422,127 × 422,127
  4. Step 4: Simplify right side
    279,859.50x = 178,191,204,129
  5. Step 5: Solve for x
    x = 178,191,204,129/279,859.50
  6. Step 6: Final answer
    x = 636,716.65

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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.