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Finding the Third Proportional to 299.16 and 634.39

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Solution

The third proportional to 299.16 and 634.39 is: 1,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.16 : 634.39 = 634.39 : x
  2. Step 2: Convert to fraction form
    299.16/634.39 = 634.39/x
  3. Step 3: Cross multiply
    299.16x = 634.39 × 634.39
  4. Step 4: Simplify right side
    299.16x = 402,456.42
  5. Step 5: Solve for x
    x = 402,456.42/299.16
  6. Step 6: Final answer
    x = 1,345.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.