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Finding the Third Proportional to 1,972.50 and 4,146.75

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Solution

The third proportional to 1,972.50 and 4,146.75 is: 8,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.50 : 4,146.75 = 4,146.75 : x
  2. Step 2: Convert to fraction form
    1,972.50/4,146.75 = 4,146.75/x
  3. Step 3: Cross multiply
    1,972.50x = 4,146.75 × 4,146.75
  4. Step 4: Simplify right side
    1,972.50x = 17,195,535.56
  5. Step 5: Solve for x
    x = 17,195,535.56/1,972.50
  6. Step 6: Final answer
    x = 8,717.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.