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Finding the Third Proportional to 312.82 and 392.13

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Solution

The third proportional to 312.82 and 392.13 is: 491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.82 : 392.13 = 392.13 : x
  2. Step 2: Convert to fraction form
    312.82/392.13 = 392.13/x
  3. Step 3: Cross multiply
    312.82x = 392.13 × 392.13
  4. Step 4: Simplify right side
    312.82x = 153,768.14
  5. Step 5: Solve for x
    x = 153,768.14/312.82
  6. Step 6: Final answer
    x = 491.55

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.