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Finding the Third Proportional to 190,399 and 418,167

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Solution

The third proportional to 190,399 and 418,167 is: 918,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,399 : 418,167 = 418,167 : x
  2. Step 2: Convert to fraction form
    190,399/418,167 = 418,167/x
  3. Step 3: Cross multiply
    190,399x = 418,167 × 418,167
  4. Step 4: Simplify right side
    190,399x = 174,863,639,889
  5. Step 5: Solve for x
    x = 174,863,639,889/190,399
  6. Step 6: Final answer
    x = 918,406.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.