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Finding the Third Proportional to 295.03 and 634.78

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Solution

The third proportional to 295.03 and 634.78 is: 1,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.03 : 634.78 = 634.78 : x
  2. Step 2: Convert to fraction form
    295.03/634.78 = 634.78/x
  3. Step 3: Cross multiply
    295.03x = 634.78 × 634.78
  4. Step 4: Simplify right side
    295.03x = 402,947.24
  5. Step 5: Solve for x
    x = 402,947.24/295.03
  6. Step 6: Final answer
    x = 1,365.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.