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Finding the Third Proportional to 77,709 and 117,171

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Solution

The third proportional to 77,709 and 117,171 is: 176,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,709 : 117,171 = 117,171 : x
  2. Step 2: Convert to fraction form
    77,709/117,171 = 117,171/x
  3. Step 3: Cross multiply
    77,709x = 117,171 × 117,171
  4. Step 4: Simplify right side
    77,709x = 13,729,043,241
  5. Step 5: Solve for x
    x = 13,729,043,241/77,709
  6. Step 6: Final answer
    x = 176,672.50

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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.