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Finding the Third Proportional to 365.63 and 514.31

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Solution

The third proportional to 365.63 and 514.31 is: 723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.63 : 514.31 = 514.31 : x
  2. Step 2: Convert to fraction form
    365.63/514.31 = 514.31/x
  3. Step 3: Cross multiply
    365.63x = 514.31 × 514.31
  4. Step 4: Simplify right side
    365.63x = 264,517.35
  5. Step 5: Solve for x
    x = 264,517.35/365.63
  6. Step 6: Final answer
    x = 723.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.