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Finding the Third Proportional to 109,665 and 236,817

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Solution

The third proportional to 109,665 and 236,817 is: 511,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,665 : 236,817 = 236,817 : x
  2. Step 2: Convert to fraction form
    109,665/236,817 = 236,817/x
  3. Step 3: Cross multiply
    109,665x = 236,817 × 236,817
  4. Step 4: Simplify right side
    109,665x = 56,082,291,489
  5. Step 5: Solve for x
    x = 56,082,291,489/109,665
  6. Step 6: Final answer
    x = 511,396.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.