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Finding the Third Proportional to 136,104 and 199,408

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Solution

The third proportional to 136,104 and 199,408 is: 292,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,104 : 199,408 = 199,408 : x
  2. Step 2: Convert to fraction form
    136,104/199,408 = 199,408/x
  3. Step 3: Cross multiply
    136,104x = 199,408 × 199,408
  4. Step 4: Simplify right side
    136,104x = 39,763,550,464
  5. Step 5: Solve for x
    x = 39,763,550,464/136,104
  6. Step 6: Final answer
    x = 292,155.63

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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.