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Finding the Third Proportional to 648.73 and 1,391.17

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Solution

The third proportional to 648.73 and 1,391.17 is: 2,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.73 : 1,391.17 = 1,391.17 : x
  2. Step 2: Convert to fraction form
    648.73/1,391.17 = 1,391.17/x
  3. Step 3: Cross multiply
    648.73x = 1,391.17 × 1,391.17
  4. Step 4: Simplify right side
    648.73x = 1,935,351.37
  5. Step 5: Solve for x
    x = 1,935,351.37/648.73
  6. Step 6: Final answer
    x = 2,983.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.