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Finding the Third Proportional to 189,348 and 408,219

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Solution

The third proportional to 189,348 and 408,219 is: 880,087.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,348 : 408,219 = 408,219 : x
  2. Step 2: Convert to fraction form
    189,348/408,219 = 408,219/x
  3. Step 3: Cross multiply
    189,348x = 408,219 × 408,219
  4. Step 4: Simplify right side
    189,348x = 166,642,751,961
  5. Step 5: Solve for x
    x = 166,642,751,961/189,348
  6. Step 6: Final answer
    x = 880,087.20

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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.