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Finding the Third Proportional to 1,780.25 and 3,895

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Solution

The third proportional to 1,780.25 and 3,895 is: 8,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.25 : 3,895 = 3,895 : x
  2. Step 2: Convert to fraction form
    1,780.25/3,895 = 3,895/x
  3. Step 3: Cross multiply
    1,780.25x = 3,895 × 3,895
  4. Step 4: Simplify right side
    1,780.25x = 15,171,025
  5. Step 5: Solve for x
    x = 15,171,025/1,780.25
  6. Step 6: Final answer
    x = 8,521.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.