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Finding the Third Proportional to 813.16 and 1,728.53

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Solution

The third proportional to 813.16 and 1,728.53 is: 3,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.16 : 1,728.53 = 1,728.53 : x
  2. Step 2: Convert to fraction form
    813.16/1,728.53 = 1,728.53/x
  3. Step 3: Cross multiply
    813.16x = 1,728.53 × 1,728.53
  4. Step 4: Simplify right side
    813.16x = 2,987,806.78
  5. Step 5: Solve for x
    x = 2,987,806.78/813.16
  6. Step 6: Final answer
    x = 3,674.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.