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Finding the Third Proportional to 353.38 and 504.13

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Solution

The third proportional to 353.38 and 504.13 is: 719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.38 : 504.13 = 504.13 : x
  2. Step 2: Convert to fraction form
    353.38/504.13 = 504.13/x
  3. Step 3: Cross multiply
    353.38x = 504.13 × 504.13
  4. Step 4: Simplify right side
    353.38x = 254,142.02
  5. Step 5: Solve for x
    x = 254,142.02/353.38
  6. Step 6: Final answer
    x = 719.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.