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Finding the Third Proportional to 121,679 and 162,763

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Solution

The third proportional to 121,679 and 162,763 is: 217,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,679 : 162,763 = 162,763 : x
  2. Step 2: Convert to fraction form
    121,679/162,763 = 162,763/x
  3. Step 3: Cross multiply
    121,679x = 162,763 × 162,763
  4. Step 4: Simplify right side
    121,679x = 26,491,794,169
  5. Step 5: Solve for x
    x = 26,491,794,169/121,679
  6. Step 6: Final answer
    x = 217,718.70

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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.