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Finding the Third Proportional to 813.48 and 1,755.11

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Solution

The third proportional to 813.48 and 1,755.11 is: 3,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.48 : 1,755.11 = 1,755.11 : x
  2. Step 2: Convert to fraction form
    813.48/1,755.11 = 1,755.11/x
  3. Step 3: Cross multiply
    813.48x = 1,755.11 × 1,755.11
  4. Step 4: Simplify right side
    813.48x = 3,080,395.21
  5. Step 5: Solve for x
    x = 3,080,395.21/813.48
  6. Step 6: Final answer
    x = 3,786.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.