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Finding the Third Proportional to 101,834 and 223,748

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Solution

The third proportional to 101,834 and 223,748 is: 491,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,834 : 223,748 = 223,748 : x
  2. Step 2: Convert to fraction form
    101,834/223,748 = 223,748/x
  3. Step 3: Cross multiply
    101,834x = 223,748 × 223,748
  4. Step 4: Simplify right side
    101,834x = 50,063,167,504
  5. Step 5: Solve for x
    x = 50,063,167,504/101,834
  6. Step 6: Final answer
    x = 491,615.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.