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Finding the Third Proportional to 109,059 and 237,855

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Solution

The third proportional to 109,059 and 237,855 is: 518,755.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,059 : 237,855 = 237,855 : x
  2. Step 2: Convert to fraction form
    109,059/237,855 = 237,855/x
  3. Step 3: Cross multiply
    109,059x = 237,855 × 237,855
  4. Step 4: Simplify right side
    109,059x = 56,575,001,025
  5. Step 5: Solve for x
    x = 56,575,001,025/109,059
  6. Step 6: Final answer
    x = 518,755.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.