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Finding the Third Proportional to 4,119.75 and 5,920.88

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Solution

The third proportional to 4,119.75 and 5,920.88 is: 8,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.75 : 5,920.88 = 5,920.88 : x
  2. Step 2: Convert to fraction form
    4,119.75/5,920.88 = 5,920.88/x
  3. Step 3: Cross multiply
    4,119.75x = 5,920.88 × 5,920.88
  4. Step 4: Simplify right side
    4,119.75x = 35,056,760.77
  5. Step 5: Solve for x
    x = 35,056,760.77/4,119.75
  6. Step 6: Final answer
    x = 8,509.44

Related Problems

Find third proportional to 2,059.88 and 2,960.44
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.