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Finding the Third Proportional to 442.69 and 817.03

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Solution

The third proportional to 442.69 and 817.03 is: 1,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.69 : 817.03 = 817.03 : x
  2. Step 2: Convert to fraction form
    442.69/817.03 = 817.03/x
  3. Step 3: Cross multiply
    442.69x = 817.03 × 817.03
  4. Step 4: Simplify right side
    442.69x = 667,540.06
  5. Step 5: Solve for x
    x = 667,540.06/442.69
  6. Step 6: Final answer
    x = 1,507.93

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.