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Finding the Third Proportional to 331.07 and 486.63

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Solution

The third proportional to 331.07 and 486.63 is: 715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.07 : 486.63 = 486.63 : x
  2. Step 2: Convert to fraction form
    331.07/486.63 = 486.63/x
  3. Step 3: Cross multiply
    331.07x = 486.63 × 486.63
  4. Step 4: Simplify right side
    331.07x = 236,811.49
  5. Step 5: Solve for x
    x = 236,811.49/331.07
  6. Step 6: Final answer
    x = 715.30

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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.