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Finding the Third Proportional to 304.31 and 634.78

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Solution

The third proportional to 304.31 and 634.78 is: 1,324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.31 : 634.78 = 634.78 : x
  2. Step 2: Convert to fraction form
    304.31/634.78 = 634.78/x
  3. Step 3: Cross multiply
    304.31x = 634.78 × 634.78
  4. Step 4: Simplify right side
    304.31x = 402,947.24
  5. Step 5: Solve for x
    x = 402,947.24/304.31
  6. Step 6: Final answer
    x = 1,324.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.