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Finding the Third Proportional to 4,871.25 and 10,520.86

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Solution

The third proportional to 4,871.25 and 10,520.86 is: 22,722.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.25 : 10,520.86 = 10,520.86 : x
  2. Step 2: Convert to fraction form
    4,871.25/10,520.86 = 10,520.86/x
  3. Step 3: Cross multiply
    4,871.25x = 10,520.86 × 10,520.86
  4. Step 4: Simplify right side
    4,871.25x = 110,688,481.99
  5. Step 5: Solve for x
    x = 110,688,481.99/4,871.25
  6. Step 6: Final answer
    x = 22,722.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.