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Finding the Third Proportional to 1,929 and 3,171.75

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Solution

The third proportional to 1,929 and 3,171.75 is: 5,215.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929 : 3,171.75 = 3,171.75 : x
  2. Step 2: Convert to fraction form
    1,929/3,171.75 = 3,171.75/x
  3. Step 3: Cross multiply
    1,929x = 3,171.75 × 3,171.75
  4. Step 4: Simplify right side
    1,929x = 10,059,998.06
  5. Step 5: Solve for x
    x = 10,059,998.06/1,929
  6. Step 6: Final answer
    x = 5,215.14

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.