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Finding the Third Proportional to 85,635 and 177,237

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Solution

The third proportional to 85,635 and 177,237 is: 366,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,635 : 177,237 = 177,237 : x
  2. Step 2: Convert to fraction form
    85,635/177,237 = 177,237/x
  3. Step 3: Cross multiply
    85,635x = 177,237 × 177,237
  4. Step 4: Simplify right side
    85,635x = 31,412,954,169
  5. Step 5: Solve for x
    x = 31,412,954,169/85,635
  6. Step 6: Final answer
    x = 366,823.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.