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Finding the Third Proportional to 318.13 and 486.63

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Solution

The third proportional to 318.13 and 486.63 is: 744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.13 : 486.63 = 486.63 : x
  2. Step 2: Convert to fraction form
    318.13/486.63 = 486.63/x
  3. Step 3: Cross multiply
    318.13x = 486.63 × 486.63
  4. Step 4: Simplify right side
    318.13x = 236,803.89
  5. Step 5: Solve for x
    x = 236,803.89/318.13
  6. Step 6: Final answer
    x = 744.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.