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Finding the Third Proportional to 279,867.66 and 422,136.56

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Solution

The third proportional to 279,867.66 and 422,136.56 is: 636,726.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,867.66 : 422,136.56 = 422,136.56 : x
  2. Step 2: Convert to fraction form
    279,867.66/422,136.56 = 422,136.56/x
  3. Step 3: Cross multiply
    279,867.66x = 422,136.56 × 422,136.56
  4. Step 4: Simplify right side
    279,867.66x = 178,199,277,399.32
  5. Step 5: Solve for x
    x = 178,199,277,399.32/279,867.66
  6. Step 6: Final answer
    x = 636,726.94

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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.