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Finding the Third Proportional to 4,255.82 and 8,921.71

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Solution

The third proportional to 4,255.82 and 8,921.71 is: 18,703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.82 : 8,921.71 = 8,921.71 : x
  2. Step 2: Convert to fraction form
    4,255.82/8,921.71 = 8,921.71/x
  3. Step 3: Cross multiply
    4,255.82x = 8,921.71 × 8,921.71
  4. Step 4: Simplify right side
    4,255.82x = 79,596,856.35
  5. Step 5: Solve for x
    x = 79,596,856.35/4,255.82
  6. Step 6: Final answer
    x = 18,703.05

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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.