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Finding the Third Proportional to 1,972.75 and 4,252.75

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Solution

The third proportional to 1,972.75 and 4,252.75 is: 9,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.75 : 4,252.75 = 4,252.75 : x
  2. Step 2: Convert to fraction form
    1,972.75/4,252.75 = 4,252.75/x
  3. Step 3: Cross multiply
    1,972.75x = 4,252.75 × 4,252.75
  4. Step 4: Simplify right side
    1,972.75x = 18,085,882.56
  5. Step 5: Solve for x
    x = 18,085,882.56/1,972.75
  6. Step 6: Final answer
    x = 9,167.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.