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Finding the Third Proportional to 189,768 and 408,860

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Solution

The third proportional to 189,768 and 408,860 is: 880,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,768 : 408,860 = 408,860 : x
  2. Step 2: Convert to fraction form
    189,768/408,860 = 408,860/x
  3. Step 3: Cross multiply
    189,768x = 408,860 × 408,860
  4. Step 4: Simplify right side
    189,768x = 167,166,499,600
  5. Step 5: Solve for x
    x = 167,166,499,600/189,768
  6. Step 6: Final answer
    x = 880,899.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.