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Finding the Third Proportional to 2,139.75 and 3,398.06

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Solution

The third proportional to 2,139.75 and 3,398.06 is: 5,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.75 : 3,398.06 = 3,398.06 : x
  2. Step 2: Convert to fraction form
    2,139.75/3,398.06 = 3,398.06/x
  3. Step 3: Cross multiply
    2,139.75x = 3,398.06 × 3,398.06
  4. Step 4: Simplify right side
    2,139.75x = 11,546,828.75
  5. Step 5: Solve for x
    x = 11,546,828.75/2,139.75
  6. Step 6: Final answer
    x = 5,396.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.