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Finding the Third Proportional to 128,007 and 275,634

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Solution

The third proportional to 128,007 and 275,634 is: 593,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,007 : 275,634 = 275,634 : x
  2. Step 2: Convert to fraction form
    128,007/275,634 = 275,634/x
  3. Step 3: Cross multiply
    128,007x = 275,634 × 275,634
  4. Step 4: Simplify right side
    128,007x = 75,974,101,956
  5. Step 5: Solve for x
    x = 75,974,101,956/128,007
  6. Step 6: Final answer
    x = 593,515.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.