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Finding the Third Proportional to 808.01 and 1,743.57

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Solution

The third proportional to 808.01 and 1,743.57 is: 3,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.01 : 1,743.57 = 1,743.57 : x
  2. Step 2: Convert to fraction form
    808.01/1,743.57 = 1,743.57/x
  3. Step 3: Cross multiply
    808.01x = 1,743.57 × 1,743.57
  4. Step 4: Simplify right side
    808.01x = 3,040,024.24
  5. Step 5: Solve for x
    x = 3,040,024.24/808.01
  6. Step 6: Final answer
    x = 3,762.35

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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.