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Finding the Third Proportional to 312.35 and 458.92

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Solution

The third proportional to 312.35 and 458.92 is: 674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.35 : 458.92 = 458.92 : x
  2. Step 2: Convert to fraction form
    312.35/458.92 = 458.92/x
  3. Step 3: Cross multiply
    312.35x = 458.92 × 458.92
  4. Step 4: Simplify right side
    312.35x = 210,605.37
  5. Step 5: Solve for x
    x = 210,605.37/312.35
  6. Step 6: Final answer
    x = 674.26

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Why These Related Problems?

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