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Finding the Third Proportional to 120,726 and 163,963

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Solution

The third proportional to 120,726 and 163,963 is: 222,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,726 : 163,963 = 163,963 : x
  2. Step 2: Convert to fraction form
    120,726/163,963 = 163,963/x
  3. Step 3: Cross multiply
    120,726x = 163,963 × 163,963
  4. Step 4: Simplify right side
    120,726x = 26,883,865,369
  5. Step 5: Solve for x
    x = 26,883,865,369/120,726
  6. Step 6: Final answer
    x = 222,684.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.