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Finding the Third Proportional to 189,354 and 408,230

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Solution

The third proportional to 189,354 and 408,230 is: 880,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,354 : 408,230 = 408,230 : x
  2. Step 2: Convert to fraction form
    189,354/408,230 = 408,230/x
  3. Step 3: Cross multiply
    189,354x = 408,230 × 408,230
  4. Step 4: Simplify right side
    189,354x = 166,651,732,900
  5. Step 5: Solve for x
    x = 166,651,732,900/189,354
  6. Step 6: Final answer
    x = 880,106.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.