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Finding the Third Proportional to 109,816 and 236,276

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Solution

The third proportional to 109,816 and 236,276 is: 508,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,816 : 236,276 = 236,276 : x
  2. Step 2: Convert to fraction form
    109,816/236,276 = 236,276/x
  3. Step 3: Cross multiply
    109,816x = 236,276 × 236,276
  4. Step 4: Simplify right side
    109,816x = 55,826,348,176
  5. Step 5: Solve for x
    x = 55,826,348,176/109,816
  6. Step 6: Final answer
    x = 508,362.61

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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.