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Finding the Third Proportional to 319.63 and 452.38

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Solution

The third proportional to 319.63 and 452.38 is: 640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.63 : 452.38 = 452.38 : x
  2. Step 2: Convert to fraction form
    319.63/452.38 = 452.38/x
  3. Step 3: Cross multiply
    319.63x = 452.38 × 452.38
  4. Step 4: Simplify right side
    319.63x = 204,643.14
  5. Step 5: Solve for x
    x = 204,643.14/319.63
  6. Step 6: Final answer
    x = 640.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.