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Finding the Third Proportional to 109,339 and 236,813

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Solution

The third proportional to 109,339 and 236,813 is: 512,903.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,339 : 236,813 = 236,813 : x
  2. Step 2: Convert to fraction form
    109,339/236,813 = 236,813/x
  3. Step 3: Cross multiply
    109,339x = 236,813 × 236,813
  4. Step 4: Simplify right side
    109,339x = 56,080,396,969
  5. Step 5: Solve for x
    x = 56,080,396,969/109,339
  6. Step 6: Final answer
    x = 512,903.88

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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.