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Finding the Third Proportional to 197,259 and 279,117

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Solution

The third proportional to 197,259 and 279,117 is: 394,944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,259 : 279,117 = 279,117 : x
  2. Step 2: Convert to fraction form
    197,259/279,117 = 279,117/x
  3. Step 3: Cross multiply
    197,259x = 279,117 × 279,117
  4. Step 4: Simplify right side
    197,259x = 77,906,299,689
  5. Step 5: Solve for x
    x = 77,906,299,689/197,259
  6. Step 6: Final answer
    x = 394,944.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.