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Finding the Third Proportional to 128,287 and 191,062

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Solution

The third proportional to 128,287 and 191,062 is: 284,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,287 : 191,062 = 191,062 : x
  2. Step 2: Convert to fraction form
    128,287/191,062 = 191,062/x
  3. Step 3: Cross multiply
    128,287x = 191,062 × 191,062
  4. Step 4: Simplify right side
    128,287x = 36,504,687,844
  5. Step 5: Solve for x
    x = 36,504,687,844/128,287
  6. Step 6: Final answer
    x = 284,554.85

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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.