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Finding the Third Proportional to 207,906 and 271,877

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Solution

The third proportional to 207,906 and 271,877 is: 355,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,906 : 271,877 = 271,877 : x
  2. Step 2: Convert to fraction form
    207,906/271,877 = 271,877/x
  3. Step 3: Cross multiply
    207,906x = 271,877 × 271,877
  4. Step 4: Simplify right side
    207,906x = 73,917,103,129
  5. Step 5: Solve for x
    x = 73,917,103,129/207,906
  6. Step 6: Final answer
    x = 355,531.36

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.