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Finding the Third Proportional to 353.75 and 515.13

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Solution

The third proportional to 353.75 and 515.13 is: 750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.75 : 515.13 = 515.13 : x
  2. Step 2: Convert to fraction form
    353.75/515.13 = 515.13/x
  3. Step 3: Cross multiply
    353.75x = 515.13 × 515.13
  4. Step 4: Simplify right side
    353.75x = 265,353.77
  5. Step 5: Solve for x
    x = 265,353.77/353.75
  6. Step 6: Final answer
    x = 750.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.