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Finding the Third Proportional to 85,856 and 133,097

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Solution

The third proportional to 85,856 and 133,097 is: 206,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,856 : 133,097 = 133,097 : x
  2. Step 2: Convert to fraction form
    85,856/133,097 = 133,097/x
  3. Step 3: Cross multiply
    85,856x = 133,097 × 133,097
  4. Step 4: Simplify right side
    85,856x = 17,714,811,409
  5. Step 5: Solve for x
    x = 17,714,811,409/85,856
  6. Step 6: Final answer
    x = 206,331.66

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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.