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Finding the Third Proportional to 189,686 and 408,778

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Solution

The third proportional to 189,686 and 408,778 is: 880,926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,686 : 408,778 = 408,778 : x
  2. Step 2: Convert to fraction form
    189,686/408,778 = 408,778/x
  3. Step 3: Cross multiply
    189,686x = 408,778 × 408,778
  4. Step 4: Simplify right side
    189,686x = 167,099,453,284
  5. Step 5: Solve for x
    x = 167,099,453,284/189,686
  6. Step 6: Final answer
    x = 880,926.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.