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Finding the Third Proportional to 120,728 and 163,960

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Solution

The third proportional to 120,728 and 163,960 is: 222,673.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,728 : 163,960 = 163,960 : x
  2. Step 2: Convert to fraction form
    120,728/163,960 = 163,960/x
  3. Step 3: Cross multiply
    120,728x = 163,960 × 163,960
  4. Step 4: Simplify right side
    120,728x = 26,882,881,600
  5. Step 5: Solve for x
    x = 26,882,881,600/120,728
  6. Step 6: Final answer
    x = 222,673.13

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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.