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Finding the Third Proportional to 121,659 and 162,736

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Solution

The third proportional to 121,659 and 162,736 is: 217,682.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,659 : 162,736 = 162,736 : x
  2. Step 2: Convert to fraction form
    121,659/162,736 = 162,736/x
  3. Step 3: Cross multiply
    121,659x = 162,736 × 162,736
  4. Step 4: Simplify right side
    121,659x = 26,483,005,696
  5. Step 5: Solve for x
    x = 26,483,005,696/121,659
  6. Step 6: Final answer
    x = 217,682.26

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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.