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Finding the Third Proportional to 121,674 and 162,756

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Solution

The third proportional to 121,674 and 162,756 is: 217,708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,674 : 162,756 = 162,756 : x
  2. Step 2: Convert to fraction form
    121,674/162,756 = 162,756/x
  3. Step 3: Cross multiply
    121,674x = 162,756 × 162,756
  4. Step 4: Simplify right side
    121,674x = 26,489,515,536
  5. Step 5: Solve for x
    x = 26,489,515,536/121,674
  6. Step 6: Final answer
    x = 217,708.92

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.