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Finding the Third Proportional to 3,129.28 and 4,843.69

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Solution

The third proportional to 3,129.28 and 4,843.69 is: 7,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.28 : 4,843.69 = 4,843.69 : x
  2. Step 2: Convert to fraction form
    3,129.28/4,843.69 = 4,843.69/x
  3. Step 3: Cross multiply
    3,129.28x = 4,843.69 × 4,843.69
  4. Step 4: Simplify right side
    3,129.28x = 23,461,308.60
  5. Step 5: Solve for x
    x = 23,461,308.60/3,129.28
  6. Step 6: Final answer
    x = 7,497.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.