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Finding the Third Proportional to 229 and 313

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Solution

The third proportional to 229 and 313 is: 427.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229 : 313 = 313 : x
  2. Step 2: Convert to fraction form
    229/313 = 313/x
  3. Step 3: Cross multiply
    229x = 313 × 313
  4. Step 4: Simplify right side
    229x = 97,969
  5. Step 5: Solve for x
    x = 97,969/229
  6. Step 6: Final answer
    x = 427.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.