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Finding the Third Proportional to 229.31 and 345.84

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Solution

The third proportional to 229.31 and 345.84 is: 521.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.31 : 345.84 = 345.84 : x
  2. Step 2: Convert to fraction form
    229.31/345.84 = 345.84/x
  3. Step 3: Cross multiply
    229.31x = 345.84 × 345.84
  4. Step 4: Simplify right side
    229.31x = 119,607.90
  5. Step 5: Solve for x
    x = 119,607.90/229.31
  6. Step 6: Final answer
    x = 521.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.