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Finding the Third Proportional to 227,720 and 494,815

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Solution

The third proportional to 227,720 and 494,815 is: 1,075,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,720 : 494,815 = 494,815 : x
  2. Step 2: Convert to fraction form
    227,720/494,815 = 494,815/x
  3. Step 3: Cross multiply
    227,720x = 494,815 × 494,815
  4. Step 4: Simplify right side
    227,720x = 244,841,884,225
  5. Step 5: Solve for x
    x = 244,841,884,225/227,720
  6. Step 6: Final answer
    x = 1,075,188.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.