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Finding the Third Proportional to 209,740 and 449,140

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Solution

The third proportional to 209,740 and 449,140 is: 961,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,740 : 449,140 = 449,140 : x
  2. Step 2: Convert to fraction form
    209,740/449,140 = 449,140/x
  3. Step 3: Cross multiply
    209,740x = 449,140 × 449,140
  4. Step 4: Simplify right side
    209,740x = 201,726,739,600
  5. Step 5: Solve for x
    x = 201,726,739,600/209,740
  6. Step 6: Final answer
    x = 961,794.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.