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Finding the Third Proportional to 189,482 and 405,219

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Solution

The third proportional to 189,482 and 405,219 is: 866,585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,482 : 405,219 = 405,219 : x
  2. Step 2: Convert to fraction form
    189,482/405,219 = 405,219/x
  3. Step 3: Cross multiply
    189,482x = 405,219 × 405,219
  4. Step 4: Simplify right side
    189,482x = 164,202,437,961
  5. Step 5: Solve for x
    x = 164,202,437,961/189,482
  6. Step 6: Final answer
    x = 866,585.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.