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Finding the Third Proportional to 3,763.18 and 5,743.01

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Solution

The third proportional to 3,763.18 and 5,743.01 is: 8,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.18 : 5,743.01 = 5,743.01 : x
  2. Step 2: Convert to fraction form
    3,763.18/5,743.01 = 5,743.01/x
  3. Step 3: Cross multiply
    3,763.18x = 5,743.01 × 5,743.01
  4. Step 4: Simplify right side
    3,763.18x = 32,982,172.38
  5. Step 5: Solve for x
    x = 32,982,172.38/3,763.18
  6. Step 6: Final answer
    x = 8,764.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.