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Finding the Third Proportional to 299.67 and 486.14

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Solution

The third proportional to 299.67 and 486.14 is: 788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.67 : 486.14 = 486.14 : x
  2. Step 2: Convert to fraction form
    299.67/486.14 = 486.14/x
  3. Step 3: Cross multiply
    299.67x = 486.14 × 486.14
  4. Step 4: Simplify right side
    299.67x = 236,332.71
  5. Step 5: Solve for x
    x = 236,332.71/299.67
  6. Step 6: Final answer
    x = 788.64

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.