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Finding the Third Proportional to 213.63 and 313.25

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Solution

The third proportional to 213.63 and 313.25 is: 459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.63 : 313.25 = 313.25 : x
  2. Step 2: Convert to fraction form
    213.63/313.25 = 313.25/x
  3. Step 3: Cross multiply
    213.63x = 313.25 × 313.25
  4. Step 4: Simplify right side
    213.63x = 98,125.56
  5. Step 5: Solve for x
    x = 98,125.56/213.63
  6. Step 6: Final answer
    x = 459.34

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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.