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Finding the Third Proportional to 415.69 and 810.38

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Solution

The third proportional to 415.69 and 810.38 is: 1,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.69 : 810.38 = 810.38 : x
  2. Step 2: Convert to fraction form
    415.69/810.38 = 810.38/x
  3. Step 3: Cross multiply
    415.69x = 810.38 × 810.38
  4. Step 4: Simplify right side
    415.69x = 656,707.64
  5. Step 5: Solve for x
    x = 656,707.64/415.69
  6. Step 6: Final answer
    x = 1,579.81

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.