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Finding the Third Proportional to 213,422 and 285,473

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Solution

The third proportional to 213,422 and 285,473 is: 381,848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,422 : 285,473 = 285,473 : x
  2. Step 2: Convert to fraction form
    213,422/285,473 = 285,473/x
  3. Step 3: Cross multiply
    213,422x = 285,473 × 285,473
  4. Step 4: Simplify right side
    213,422x = 81,494,833,729
  5. Step 5: Solve for x
    x = 81,494,833,729/213,422
  6. Step 6: Final answer
    x = 381,848.33

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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.