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Finding the Third Proportional to 120,724.75 and 163,960.25

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Solution

The third proportional to 120,724.75 and 163,960.25 is: 222,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,724.75 : 163,960.25 = 163,960.25 : x
  2. Step 2: Convert to fraction form
    120,724.75/163,960.25 = 163,960.25/x
  3. Step 3: Cross multiply
    120,724.75x = 163,960.25 × 163,960.25
  4. Step 4: Simplify right side
    120,724.75x = 26,882,963,580.06
  5. Step 5: Solve for x
    x = 26,882,963,580.06/120,724.75
  6. Step 6: Final answer
    x = 222,679.80

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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.