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Finding the Third Proportional to 117,708 and 177,662

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Solution

The third proportional to 117,708 and 177,662 is: 268,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,708 : 177,662 = 177,662 : x
  2. Step 2: Convert to fraction form
    117,708/177,662 = 177,662/x
  3. Step 3: Cross multiply
    117,708x = 177,662 × 177,662
  4. Step 4: Simplify right side
    117,708x = 31,563,786,244
  5. Step 5: Solve for x
    x = 31,563,786,244/117,708
  6. Step 6: Final answer
    x = 268,153.28

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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.