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Finding the Third Proportional to 2,138.48 and 3,139.17

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Solution

The third proportional to 2,138.48 and 3,139.17 is: 4,608.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.48 : 3,139.17 = 3,139.17 : x
  2. Step 2: Convert to fraction form
    2,138.48/3,139.17 = 3,139.17/x
  3. Step 3: Cross multiply
    2,138.48x = 3,139.17 × 3,139.17
  4. Step 4: Simplify right side
    2,138.48x = 9,854,400.06
  5. Step 5: Solve for x
    x = 9,854,400.06/2,138.48
  6. Step 6: Final answer
    x = 4,608.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.