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Finding the Third Proportional to 114,366 and 236,526

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Solution

The third proportional to 114,366 and 236,526 is: 489,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,366 : 236,526 = 236,526 : x
  2. Step 2: Convert to fraction form
    114,366/236,526 = 236,526/x
  3. Step 3: Cross multiply
    114,366x = 236,526 × 236,526
  4. Step 4: Simplify right side
    114,366x = 55,944,548,676
  5. Step 5: Solve for x
    x = 55,944,548,676/114,366
  6. Step 6: Final answer
    x = 489,171.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.