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Finding the Third Proportional to 3,650.06 and 8,532.84

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Solution

The third proportional to 3,650.06 and 8,532.84 is: 19,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.06 : 8,532.84 = 8,532.84 : x
  2. Step 2: Convert to fraction form
    3,650.06/8,532.84 = 8,532.84/x
  3. Step 3: Cross multiply
    3,650.06x = 8,532.84 × 8,532.84
  4. Step 4: Simplify right side
    3,650.06x = 72,809,422.46
  5. Step 5: Solve for x
    x = 72,809,422.46/3,650.06
  6. Step 6: Final answer
    x = 19,947.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.