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Finding the Third Proportional to 3,763.50 and 6,131.25

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Solution

The third proportional to 3,763.50 and 6,131.25 is: 9,988.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.50 : 6,131.25 = 6,131.25 : x
  2. Step 2: Convert to fraction form
    3,763.50/6,131.25 = 6,131.25/x
  3. Step 3: Cross multiply
    3,763.50x = 6,131.25 × 6,131.25
  4. Step 4: Simplify right side
    3,763.50x = 37,592,226.56
  5. Step 5: Solve for x
    x = 37,592,226.56/3,763.50
  6. Step 6: Final answer
    x = 9,988.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.