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Finding the Third Proportional to 335.25 and 705.38

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Solution

The third proportional to 335.25 and 705.38 is: 1,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.25 : 705.38 = 705.38 : x
  2. Step 2: Convert to fraction form
    335.25/705.38 = 705.38/x
  3. Step 3: Cross multiply
    335.25x = 705.38 × 705.38
  4. Step 4: Simplify right side
    335.25x = 497,553.89
  5. Step 5: Solve for x
    x = 497,553.89/335.25
  6. Step 6: Final answer
    x = 1,484.13

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.