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Finding the Third Proportional to 189,864 and 439,632

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Solution

The third proportional to 189,864 and 439,632 is: 1,017,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,864 : 439,632 = 439,632 : x
  2. Step 2: Convert to fraction form
    189,864/439,632 = 439,632/x
  3. Step 3: Cross multiply
    189,864x = 439,632 × 439,632
  4. Step 4: Simplify right side
    189,864x = 193,276,295,424
  5. Step 5: Solve for x
    x = 193,276,295,424/189,864
  6. Step 6: Final answer
    x = 1,017,972.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.