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Finding the Third Proportional to 433.06 and 826.22

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Solution

The third proportional to 433.06 and 826.22 is: 1,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.06 : 826.22 = 826.22 : x
  2. Step 2: Convert to fraction form
    433.06/826.22 = 826.22/x
  3. Step 3: Cross multiply
    433.06x = 826.22 × 826.22
  4. Step 4: Simplify right side
    433.06x = 682,637.42
  5. Step 5: Solve for x
    x = 682,637.42/433.06
  6. Step 6: Final answer
    x = 1,576.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.