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Finding the Third Proportional to 189,366 and 407,343

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Solution

The third proportional to 189,366 and 407,343 is: 876,230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,366 : 407,343 = 407,343 : x
  2. Step 2: Convert to fraction form
    189,366/407,343 = 407,343/x
  3. Step 3: Cross multiply
    189,366x = 407,343 × 407,343
  4. Step 4: Simplify right side
    189,366x = 165,928,319,649
  5. Step 5: Solve for x
    x = 165,928,319,649/189,366
  6. Step 6: Final answer
    x = 876,230.79

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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.