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Finding the Third Proportional to 189,740 and 421,496

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Solution

The third proportional to 189,740 and 421,496 is: 936,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,740 : 421,496 = 421,496 : x
  2. Step 2: Convert to fraction form
    189,740/421,496 = 421,496/x
  3. Step 3: Cross multiply
    189,740x = 421,496 × 421,496
  4. Step 4: Simplify right side
    189,740x = 177,658,878,016
  5. Step 5: Solve for x
    x = 177,658,878,016/189,740
  6. Step 6: Final answer
    x = 936,328.02

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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.