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Finding the Third Proportional to 20,533.50 and 44,344.13

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Solution

The third proportional to 20,533.50 and 44,344.13 is: 95,765.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.50 : 44,344.13 = 44,344.13 : x
  2. Step 2: Convert to fraction form
    20,533.50/44,344.13 = 44,344.13/x
  3. Step 3: Cross multiply
    20,533.50x = 44,344.13 × 44,344.13
  4. Step 4: Simplify right side
    20,533.50x = 1,966,401,422.02
  5. Step 5: Solve for x
    x = 1,966,401,422.02/20,533.50
  6. Step 6: Final answer
    x = 95,765.53

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Why These Related Problems?

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