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Finding the Third Proportional to 416.47 and 648.73

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Solution

The third proportional to 416.47 and 648.73 is: 1,010.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.47 : 648.73 = 648.73 : x
  2. Step 2: Convert to fraction form
    416.47/648.73 = 648.73/x
  3. Step 3: Cross multiply
    416.47x = 648.73 × 648.73
  4. Step 4: Simplify right side
    416.47x = 420,852.80
  5. Step 5: Solve for x
    x = 420,852.80/416.47
  6. Step 6: Final answer
    x = 1,010.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.