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Finding the Third Proportional to 117,161 and 177,385

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Solution

The third proportional to 117,161 and 177,385 is: 268,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,161 : 177,385 = 177,385 : x
  2. Step 2: Convert to fraction form
    117,161/177,385 = 177,385/x
  3. Step 3: Cross multiply
    117,161x = 177,385 × 177,385
  4. Step 4: Simplify right side
    117,161x = 31,465,438,225
  5. Step 5: Solve for x
    x = 31,465,438,225/117,161
  6. Step 6: Final answer
    x = 268,565.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.