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Finding the Third Proportional to 134,661 and 199,389

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Solution

The third proportional to 134,661 and 199,389 is: 295,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,661 : 199,389 = 199,389 : x
  2. Step 2: Convert to fraction form
    134,661/199,389 = 199,389/x
  3. Step 3: Cross multiply
    134,661x = 199,389 × 199,389
  4. Step 4: Simplify right side
    134,661x = 39,755,973,321
  5. Step 5: Solve for x
    x = 39,755,973,321/134,661
  6. Step 6: Final answer
    x = 295,230.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.