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Finding the Third Proportional to 430.21 and 826.24

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Solution

The third proportional to 430.21 and 826.24 is: 1,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.21 : 826.24 = 826.24 : x
  2. Step 2: Convert to fraction form
    430.21/826.24 = 826.24/x
  3. Step 3: Cross multiply
    430.21x = 826.24 × 826.24
  4. Step 4: Simplify right side
    430.21x = 682,676.15
  5. Step 5: Solve for x
    x = 682,676.15/430.21
  6. Step 6: Final answer
    x = 1,586.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.