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Finding the Third Proportional to 128,466 and 192,051

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Solution

The third proportional to 128,466 and 192,051 is: 287,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,466 : 192,051 = 192,051 : x
  2. Step 2: Convert to fraction form
    128,466/192,051 = 192,051/x
  3. Step 3: Cross multiply
    128,466x = 192,051 × 192,051
  4. Step 4: Simplify right side
    128,466x = 36,883,586,601
  5. Step 5: Solve for x
    x = 36,883,586,601/128,466
  6. Step 6: Final answer
    x = 287,107.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.