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Finding the Third Proportional to 3,189 and 4,406.25

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Solution

The third proportional to 3,189 and 4,406.25 is: 6,088.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189 : 4,406.25 = 4,406.25 : x
  2. Step 2: Convert to fraction form
    3,189/4,406.25 = 4,406.25/x
  3. Step 3: Cross multiply
    3,189x = 4,406.25 × 4,406.25
  4. Step 4: Simplify right side
    3,189x = 19,415,039.06
  5. Step 5: Solve for x
    x = 19,415,039.06/3,189
  6. Step 6: Final answer
    x = 6,088.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.