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Finding the Third Proportional to 117,709 and 177,670

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Solution

The third proportional to 117,709 and 177,670 is: 268,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,709 : 177,670 = 177,670 : x
  2. Step 2: Convert to fraction form
    117,709/177,670 = 177,670/x
  3. Step 3: Cross multiply
    117,709x = 177,670 × 177,670
  4. Step 4: Simplify right side
    117,709x = 31,566,628,900
  5. Step 5: Solve for x
    x = 31,566,628,900/117,709
  6. Step 6: Final answer
    x = 268,175.15

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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.