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Finding the Third Proportional to 3,143.81 and 4,032.28

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Solution

The third proportional to 3,143.81 and 4,032.28 is: 5,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.81 : 4,032.28 = 4,032.28 : x
  2. Step 2: Convert to fraction form
    3,143.81/4,032.28 = 4,032.28/x
  3. Step 3: Cross multiply
    3,143.81x = 4,032.28 × 4,032.28
  4. Step 4: Simplify right side
    3,143.81x = 16,259,292.08
  5. Step 5: Solve for x
    x = 16,259,292.08/3,143.81
  6. Step 6: Final answer
    x = 5,171.84

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.