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Finding the Third Proportional to 134,111 and 279,134

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Solution

The third proportional to 134,111 and 279,134 is: 580,979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,111 : 279,134 = 279,134 : x
  2. Step 2: Convert to fraction form
    134,111/279,134 = 279,134/x
  3. Step 3: Cross multiply
    134,111x = 279,134 × 279,134
  4. Step 4: Simplify right side
    134,111x = 77,915,789,956
  5. Step 5: Solve for x
    x = 77,915,789,956/134,111
  6. Step 6: Final answer
    x = 580,979.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.