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Finding the Third Proportional to 120,742 and 263,921

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Solution

The third proportional to 120,742 and 263,921 is: 576,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,742 : 263,921 = 263,921 : x
  2. Step 2: Convert to fraction form
    120,742/263,921 = 263,921/x
  3. Step 3: Cross multiply
    120,742x = 263,921 × 263,921
  4. Step 4: Simplify right side
    120,742x = 69,654,294,241
  5. Step 5: Solve for x
    x = 69,654,294,241/120,742
  6. Step 6: Final answer
    x = 576,885.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.