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Finding the Third Proportional to 312.14 and 449.63

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Solution

The third proportional to 312.14 and 449.63 is: 647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.14 : 449.63 = 449.63 : x
  2. Step 2: Convert to fraction form
    312.14/449.63 = 449.63/x
  3. Step 3: Cross multiply
    312.14x = 449.63 × 449.63
  4. Step 4: Simplify right side
    312.14x = 202,162.64
  5. Step 5: Solve for x
    x = 202,162.64/312.14
  6. Step 6: Final answer
    x = 647.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.