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Finding the Third Proportional to 189,155 and 415,165

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Solution

The third proportional to 189,155 and 415,165 is: 911,220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,155 : 415,165 = 415,165 : x
  2. Step 2: Convert to fraction form
    189,155/415,165 = 415,165/x
  3. Step 3: Cross multiply
    189,155x = 415,165 × 415,165
  4. Step 4: Simplify right side
    189,155x = 172,361,977,225
  5. Step 5: Solve for x
    x = 172,361,977,225/189,155
  6. Step 6: Final answer
    x = 911,220.84

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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.