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Finding the Third Proportional to 312.31 and 458.34

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Solution

The third proportional to 312.31 and 458.34 is: 672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.31 : 458.34 = 458.34 : x
  2. Step 2: Convert to fraction form
    312.31/458.34 = 458.34/x
  3. Step 3: Cross multiply
    312.31x = 458.34 × 458.34
  4. Step 4: Simplify right side
    312.31x = 210,078.99
  5. Step 5: Solve for x
    x = 210,078.99/312.31
  6. Step 6: Final answer
    x = 672.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.