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Finding the Third Proportional to 190,414 and 418,187

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Solution

The third proportional to 190,414 and 418,187 is: 918,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,414 : 418,187 = 418,187 : x
  2. Step 2: Convert to fraction form
    190,414/418,187 = 418,187/x
  3. Step 3: Cross multiply
    190,414x = 418,187 × 418,187
  4. Step 4: Simplify right side
    190,414x = 174,880,366,969
  5. Step 5: Solve for x
    x = 174,880,366,969/190,414
  6. Step 6: Final answer
    x = 918,421.79

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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.