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Finding the Third Proportional to 393.47 and 578.67

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Solution

The third proportional to 393.47 and 578.67 is: 851.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.47 : 578.67 = 578.67 : x
  2. Step 2: Convert to fraction form
    393.47/578.67 = 578.67/x
  3. Step 3: Cross multiply
    393.47x = 578.67 × 578.67
  4. Step 4: Simplify right side
    393.47x = 334,861.14
  5. Step 5: Solve for x
    x = 334,861.14/393.47
  6. Step 6: Final answer
    x = 851.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.