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Finding the Third Proportional to 295.88 and 629.81

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Solution

The third proportional to 295.88 and 629.81 is: 1,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.88 : 629.81 = 629.81 : x
  2. Step 2: Convert to fraction form
    295.88/629.81 = 629.81/x
  3. Step 3: Cross multiply
    295.88x = 629.81 × 629.81
  4. Step 4: Simplify right side
    295.88x = 396,663.79
  5. Step 5: Solve for x
    x = 396,663.79/295.88
  6. Step 6: Final answer
    x = 1,340.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.