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Finding the Third Proportional to 213,435 and 285,606

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Solution

The third proportional to 213,435 and 285,606 is: 382,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,435 : 285,606 = 285,606 : x
  2. Step 2: Convert to fraction form
    213,435/285,606 = 285,606/x
  3. Step 3: Cross multiply
    213,435x = 285,606 × 285,606
  4. Step 4: Simplify right side
    213,435x = 81,570,787,236
  5. Step 5: Solve for x
    x = 81,570,787,236/213,435
  6. Step 6: Final answer
    x = 382,180.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.