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Finding the Third Proportional to 3,129 and 5,042.25

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Solution

The third proportional to 3,129 and 5,042.25 is: 8,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129 : 5,042.25 = 5,042.25 : x
  2. Step 2: Convert to fraction form
    3,129/5,042.25 = 5,042.25/x
  3. Step 3: Cross multiply
    3,129x = 5,042.25 × 5,042.25
  4. Step 4: Simplify right side
    3,129x = 25,424,285.06
  5. Step 5: Solve for x
    x = 25,424,285.06/3,129
  6. Step 6: Final answer
    x = 8,125.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.