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Finding the Third Proportional to 85,581 and 133,035

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Solution

The third proportional to 85,581 and 133,035 is: 206,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,581 : 133,035 = 133,035 : x
  2. Step 2: Convert to fraction form
    85,581/133,035 = 133,035/x
  3. Step 3: Cross multiply
    85,581x = 133,035 × 133,035
  4. Step 4: Simplify right side
    85,581x = 17,698,311,225
  5. Step 5: Solve for x
    x = 17,698,311,225/85,581
  6. Step 6: Final answer
    x = 206,801.87

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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.