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Finding the Third Proportional to 3,510.50 and 8,126.75

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Solution

The third proportional to 3,510.50 and 8,126.75 is: 18,813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.50 : 8,126.75 = 8,126.75 : x
  2. Step 2: Convert to fraction form
    3,510.50/8,126.75 = 8,126.75/x
  3. Step 3: Cross multiply
    3,510.50x = 8,126.75 × 8,126.75
  4. Step 4: Simplify right side
    3,510.50x = 66,044,065.56
  5. Step 5: Solve for x
    x = 66,044,065.56/3,510.50
  6. Step 6: Final answer
    x = 18,813.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.