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Finding the Third Proportional to 189,158 and 415,170

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Solution

The third proportional to 189,158 and 415,170 is: 911,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,158 : 415,170 = 415,170 : x
  2. Step 2: Convert to fraction form
    189,158/415,170 = 415,170/x
  3. Step 3: Cross multiply
    189,158x = 415,170 × 415,170
  4. Step 4: Simplify right side
    189,158x = 172,366,128,900
  5. Step 5: Solve for x
    x = 172,366,128,900/189,158
  6. Step 6: Final answer
    x = 911,228.33

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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.