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Finding the Third Proportional to 109,780 and 236,203

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Solution

The third proportional to 109,780 and 236,203 is: 508,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,780 : 236,203 = 236,203 : x
  2. Step 2: Convert to fraction form
    109,780/236,203 = 236,203/x
  3. Step 3: Cross multiply
    109,780x = 236,203 × 236,203
  4. Step 4: Simplify right side
    109,780x = 55,791,857,209
  5. Step 5: Solve for x
    x = 55,791,857,209/109,780
  6. Step 6: Final answer
    x = 508,215.13

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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.