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Finding the Third Proportional to 346.97 and 515.19

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Solution

The third proportional to 346.97 and 515.19 is: 764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.97 : 515.19 = 515.19 : x
  2. Step 2: Convert to fraction form
    346.97/515.19 = 515.19/x
  3. Step 3: Cross multiply
    346.97x = 515.19 × 515.19
  4. Step 4: Simplify right side
    346.97x = 265,418.16
  5. Step 5: Solve for x
    x = 265,418.16/346.97
  6. Step 6: Final answer
    x = 764.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.