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Finding the Third Proportional to 1,896.78 and 2,871.62

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Solution

The third proportional to 1,896.78 and 2,871.62 is: 4,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.78 : 2,871.62 = 2,871.62 : x
  2. Step 2: Convert to fraction form
    1,896.78/2,871.62 = 2,871.62/x
  3. Step 3: Cross multiply
    1,896.78x = 2,871.62 × 2,871.62
  4. Step 4: Simplify right side
    1,896.78x = 8,246,224.53
  5. Step 5: Solve for x
    x = 8,246,224.53/1,896.78
  6. Step 6: Final answer
    x = 4,347.49

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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.