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Finding the Third Proportional to 109,783 and 236,209

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Solution

The third proportional to 109,783 and 236,209 is: 508,227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,783 : 236,209 = 236,209 : x
  2. Step 2: Convert to fraction form
    109,783/236,209 = 236,209/x
  3. Step 3: Cross multiply
    109,783x = 236,209 × 236,209
  4. Step 4: Simplify right side
    109,783x = 55,794,691,681
  5. Step 5: Solve for x
    x = 55,794,691,681/109,783
  6. Step 6: Final answer
    x = 508,227.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.