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Finding the Third Proportional to 189,736 and 421,488

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Solution

The third proportional to 189,736 and 421,488 is: 936,312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,736 : 421,488 = 421,488 : x
  2. Step 2: Convert to fraction form
    189,736/421,488 = 421,488/x
  3. Step 3: Cross multiply
    189,736x = 421,488 × 421,488
  4. Step 4: Simplify right side
    189,736x = 177,652,134,144
  5. Step 5: Solve for x
    x = 177,652,134,144/189,736
  6. Step 6: Final answer
    x = 936,312.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.