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Finding the Third Proportional to 210,857 and 337,242

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Solution

The third proportional to 210,857 and 337,242 is: 539,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,857 : 337,242 = 337,242 : x
  2. Step 2: Convert to fraction form
    210,857/337,242 = 337,242/x
  3. Step 3: Cross multiply
    210,857x = 337,242 × 337,242
  4. Step 4: Simplify right side
    210,857x = 113,732,166,564
  5. Step 5: Solve for x
    x = 113,732,166,564/210,857
  6. Step 6: Final answer
    x = 539,380.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.