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Finding the Third Proportional to 3,139.17 and 4,749.26

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Solution

The third proportional to 3,139.17 and 4,749.26 is: 7,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.17 : 4,749.26 = 4,749.26 : x
  2. Step 2: Convert to fraction form
    3,139.17/4,749.26 = 4,749.26/x
  3. Step 3: Cross multiply
    3,139.17x = 4,749.26 × 4,749.26
  4. Step 4: Simplify right side
    3,139.17x = 22,555,449.77
  5. Step 5: Solve for x
    x = 22,555,449.77/3,139.17
  6. Step 6: Final answer
    x = 7,185.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.