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Finding the Third Proportional to 77,668 and 112,734

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Solution

The third proportional to 77,668 and 112,734 is: 163,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,668 : 112,734 = 112,734 : x
  2. Step 2: Convert to fraction form
    77,668/112,734 = 112,734/x
  3. Step 3: Cross multiply
    77,668x = 112,734 × 112,734
  4. Step 4: Simplify right side
    77,668x = 12,708,954,756
  5. Step 5: Solve for x
    x = 12,708,954,756/77,668
  6. Step 6: Final answer
    x = 163,631.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.