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Finding the Third Proportional to 121,708 and 177,162

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Solution

The third proportional to 121,708 and 177,162 is: 257,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,708 : 177,162 = 177,162 : x
  2. Step 2: Convert to fraction form
    121,708/177,162 = 177,162/x
  3. Step 3: Cross multiply
    121,708x = 177,162 × 177,162
  4. Step 4: Simplify right side
    121,708x = 31,386,374,244
  5. Step 5: Solve for x
    x = 31,386,374,244/121,708
  6. Step 6: Final answer
    x = 257,882.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.