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Finding the Third Proportional to 40,769 and 85,237

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Solution

The third proportional to 40,769 and 85,237 is: 178,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,769 : 85,237 = 85,237 : x
  2. Step 2: Convert to fraction form
    40,769/85,237 = 85,237/x
  3. Step 3: Cross multiply
    40,769x = 85,237 × 85,237
  4. Step 4: Simplify right side
    40,769x = 7,265,346,169
  5. Step 5: Solve for x
    x = 7,265,346,169/40,769
  6. Step 6: Final answer
    x = 178,207.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.