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Finding the Third Proportional to 103,412 and 213,291

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Solution

The third proportional to 103,412 and 213,291 is: 439,920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,412 : 213,291 = 213,291 : x
  2. Step 2: Convert to fraction form
    103,412/213,291 = 213,291/x
  3. Step 3: Cross multiply
    103,412x = 213,291 × 213,291
  4. Step 4: Simplify right side
    103,412x = 45,493,050,681
  5. Step 5: Solve for x
    x = 45,493,050,681/103,412
  6. Step 6: Final answer
    x = 439,920.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.