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Finding the Third Proportional to 189,459 and 405,180

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Solution

The third proportional to 189,459 and 405,180 is: 866,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,459 : 405,180 = 405,180 : x
  2. Step 2: Convert to fraction form
    189,459/405,180 = 405,180/x
  3. Step 3: Cross multiply
    189,459x = 405,180 × 405,180
  4. Step 4: Simplify right side
    189,459x = 164,170,832,400
  5. Step 5: Solve for x
    x = 164,170,832,400/189,459
  6. Step 6: Final answer
    x = 866,524.33

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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.