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Finding the Third Proportional to 203,624 and 421,216

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Solution

The third proportional to 203,624 and 421,216 is: 871,326.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,624 : 421,216 = 421,216 : x
  2. Step 2: Convert to fraction form
    203,624/421,216 = 421,216/x
  3. Step 3: Cross multiply
    203,624x = 421,216 × 421,216
  4. Step 4: Simplify right side
    203,624x = 177,422,918,656
  5. Step 5: Solve for x
    x = 177,422,918,656/203,624
  6. Step 6: Final answer
    x = 871,326.16

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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.