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Finding the Third Proportional to 814.69 and 1,782.38

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Solution

The third proportional to 814.69 and 1,782.38 is: 3,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.69 : 1,782.38 = 1,782.38 : x
  2. Step 2: Convert to fraction form
    814.69/1,782.38 = 1,782.38/x
  3. Step 3: Cross multiply
    814.69x = 1,782.38 × 1,782.38
  4. Step 4: Simplify right side
    814.69x = 3,176,860.64
  5. Step 5: Solve for x
    x = 3,176,860.64/814.69
  6. Step 6: Final answer
    x = 3,899.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.