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Finding the Third Proportional to 299,986 and 465,105

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Solution

The third proportional to 299,986 and 465,105 is: 721,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,986 : 465,105 = 465,105 : x
  2. Step 2: Convert to fraction form
    299,986/465,105 = 465,105/x
  3. Step 3: Cross multiply
    299,986x = 465,105 × 465,105
  4. Step 4: Simplify right side
    299,986x = 216,322,661,025
  5. Step 5: Solve for x
    x = 216,322,661,025/299,986
  6. Step 6: Final answer
    x = 721,109.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.