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Finding the Third Proportional to 120,728 and 163,966

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Solution

The third proportional to 120,728 and 163,966 is: 222,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,728 : 163,966 = 163,966 : x
  2. Step 2: Convert to fraction form
    120,728/163,966 = 163,966/x
  3. Step 3: Cross multiply
    120,728x = 163,966 × 163,966
  4. Step 4: Simplify right side
    120,728x = 26,884,849,156
  5. Step 5: Solve for x
    x = 26,884,849,156/120,728
  6. Step 6: Final answer
    x = 222,689.43

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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.