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Finding the Third Proportional to 295.75 and 685.38

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Solution

The third proportional to 295.75 and 685.38 is: 1,588.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.75 : 685.38 = 685.38 : x
  2. Step 2: Convert to fraction form
    295.75/685.38 = 685.38/x
  3. Step 3: Cross multiply
    295.75x = 685.38 × 685.38
  4. Step 4: Simplify right side
    295.75x = 469,738.89
  5. Step 5: Solve for x
    x = 469,738.89/295.75
  6. Step 6: Final answer
    x = 1,588.30

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.