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Finding the Third Proportional to 189,153 and 415,161

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Solution

The third proportional to 189,153 and 415,161 is: 911,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,153 : 415,161 = 415,161 : x
  2. Step 2: Convert to fraction form
    189,153/415,161 = 415,161/x
  3. Step 3: Cross multiply
    189,153x = 415,161 × 415,161
  4. Step 4: Simplify right side
    189,153x = 172,358,655,921
  5. Step 5: Solve for x
    x = 172,358,655,921/189,153
  6. Step 6: Final answer
    x = 911,212.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.