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Finding the Third Proportional to 242,891 and 339,655

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Solution

The third proportional to 242,891 and 339,655 is: 474,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,891 : 339,655 = 339,655 : x
  2. Step 2: Convert to fraction form
    242,891/339,655 = 339,655/x
  3. Step 3: Cross multiply
    242,891x = 339,655 × 339,655
  4. Step 4: Simplify right side
    242,891x = 115,365,519,025
  5. Step 5: Solve for x
    x = 115,365,519,025/242,891
  6. Step 6: Final answer
    x = 474,968.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.