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Finding the Third Proportional to 256,117.50 and 279,081

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Solution

The third proportional to 256,117.50 and 279,081 is: 304,103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,117.50 : 279,081 = 279,081 : x
  2. Step 2: Convert to fraction form
    256,117.50/279,081 = 279,081/x
  3. Step 3: Cross multiply
    256,117.50x = 279,081 × 279,081
  4. Step 4: Simplify right side
    256,117.50x = 77,886,204,561
  5. Step 5: Solve for x
    x = 77,886,204,561/256,117.50
  6. Step 6: Final answer
    x = 304,103.41

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.