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Finding the Third Proportional to 346.31 and 512.91

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Solution

The third proportional to 346.31 and 512.91 is: 759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.31 : 512.91 = 512.91 : x
  2. Step 2: Convert to fraction form
    346.31/512.91 = 512.91/x
  3. Step 3: Cross multiply
    346.31x = 512.91 × 512.91
  4. Step 4: Simplify right side
    346.31x = 263,072.82
  5. Step 5: Solve for x
    x = 263,072.82/346.31
  6. Step 6: Final answer
    x = 759.64

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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.