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Finding the Third Proportional to 648.73 and 1,297.46

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Solution

The third proportional to 648.73 and 1,297.46 is: 2,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.73 : 1,297.46 = 1,297.46 : x
  2. Step 2: Convert to fraction form
    648.73/1,297.46 = 1,297.46/x
  3. Step 3: Cross multiply
    648.73x = 1,297.46 × 1,297.46
  4. Step 4: Simplify right side
    648.73x = 1,683,411.22
  5. Step 5: Solve for x
    x = 1,683,411.22/648.73
  6. Step 6: Final answer
    x = 2,594.93

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.