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Finding the Third Proportional to 648.11 and 1,390.82

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Solution

The third proportional to 648.11 and 1,390.82 is: 2,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.11 : 1,390.82 = 1,390.82 : x
  2. Step 2: Convert to fraction form
    648.11/1,390.82 = 1,390.82/x
  3. Step 3: Cross multiply
    648.11x = 1,390.82 × 1,390.82
  4. Step 4: Simplify right side
    648.11x = 1,934,370.28
  5. Step 5: Solve for x
    x = 1,934,370.28/648.11
  6. Step 6: Final answer
    x = 2,984.65

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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.