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Finding the Third Proportional to 402.23 and 585.02

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Solution

The third proportional to 402.23 and 585.02 is: 850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.23 : 585.02 = 585.02 : x
  2. Step 2: Convert to fraction form
    402.23/585.02 = 585.02/x
  3. Step 3: Cross multiply
    402.23x = 585.02 × 585.02
  4. Step 4: Simplify right side
    402.23x = 342,243.00
  5. Step 5: Solve for x
    x = 342,243.00/402.23
  6. Step 6: Final answer
    x = 850.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.