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Finding the Third Proportional to 316.97 and 684.56

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Solution

The third proportional to 316.97 and 684.56 is: 1,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.97 : 684.56 = 684.56 : x
  2. Step 2: Convert to fraction form
    316.97/684.56 = 684.56/x
  3. Step 3: Cross multiply
    316.97x = 684.56 × 684.56
  4. Step 4: Simplify right side
    316.97x = 468,625.82
  5. Step 5: Solve for x
    x = 468,625.82/316.97
  6. Step 6: Final answer
    x = 1,478.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.