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Finding the Third Proportional to 3,133.13 and 5,023.69

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Solution

The third proportional to 3,133.13 and 5,023.69 is: 8,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.13 : 5,023.69 = 5,023.69 : x
  2. Step 2: Convert to fraction form
    3,133.13/5,023.69 = 5,023.69/x
  3. Step 3: Cross multiply
    3,133.13x = 5,023.69 × 5,023.69
  4. Step 4: Simplify right side
    3,133.13x = 25,237,436.10
  5. Step 5: Solve for x
    x = 25,237,436.10/3,133.13
  6. Step 6: Final answer
    x = 8,055.04

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.