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Finding the Third Proportional to 393.29 and 829.30

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Solution

The third proportional to 393.29 and 829.30 is: 1,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.29 : 829.30 = 829.30 : x
  2. Step 2: Convert to fraction form
    393.29/829.30 = 829.30/x
  3. Step 3: Cross multiply
    393.29x = 829.30 × 829.30
  4. Step 4: Simplify right side
    393.29x = 687,739.79
  5. Step 5: Solve for x
    x = 687,739.79/393.29
  6. Step 6: Final answer
    x = 1,748.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.