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Finding the Third Proportional to 212.81 and 312.47

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Solution

The third proportional to 212.81 and 312.47 is: 458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.81 : 312.47 = 312.47 : x
  2. Step 2: Convert to fraction form
    212.81/312.47 = 312.47/x
  3. Step 3: Cross multiply
    212.81x = 312.47 × 312.47
  4. Step 4: Simplify right side
    212.81x = 97,636.72
  5. Step 5: Solve for x
    x = 97,636.72/212.81
  6. Step 6: Final answer
    x = 458.79

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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.