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Finding the Third Proportional to 227,938 and 307,400

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Solution

The third proportional to 227,938 and 307,400 is: 414,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,938 : 307,400 = 307,400 : x
  2. Step 2: Convert to fraction form
    227,938/307,400 = 307,400/x
  3. Step 3: Cross multiply
    227,938x = 307,400 × 307,400
  4. Step 4: Simplify right side
    227,938x = 94,494,760,000
  5. Step 5: Solve for x
    x = 94,494,760,000/227,938
  6. Step 6: Final answer
    x = 414,563.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.