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Finding the Third Proportional to 319.31 and 452.06

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Solution

The third proportional to 319.31 and 452.06 is: 640.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.31 : 452.06 = 452.06 : x
  2. Step 2: Convert to fraction form
    319.31/452.06 = 452.06/x
  3. Step 3: Cross multiply
    319.31x = 452.06 × 452.06
  4. Step 4: Simplify right side
    319.31x = 204,360.50
  5. Step 5: Solve for x
    x = 204,360.50/319.31
  6. Step 6: Final answer
    x = 640.00

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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.