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Finding the Third Proportional to 133,886 and 207,311

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Solution

The third proportional to 133,886 and 207,311 is: 321,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,886 : 207,311 = 207,311 : x
  2. Step 2: Convert to fraction form
    133,886/207,311 = 207,311/x
  3. Step 3: Cross multiply
    133,886x = 207,311 × 207,311
  4. Step 4: Simplify right side
    133,886x = 42,977,850,721
  5. Step 5: Solve for x
    x = 42,977,850,721/133,886
  6. Step 6: Final answer
    x = 321,003.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.