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Finding the Third Proportional to 753.21 and 1,650.22

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Solution

The third proportional to 753.21 and 1,650.22 is: 3,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.21 : 1,650.22 = 1,650.22 : x
  2. Step 2: Convert to fraction form
    753.21/1,650.22 = 1,650.22/x
  3. Step 3: Cross multiply
    753.21x = 1,650.22 × 1,650.22
  4. Step 4: Simplify right side
    753.21x = 2,723,215.48
  5. Step 5: Solve for x
    x = 2,723,215.48/753.21
  6. Step 6: Final answer
    x = 3,615.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.