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Finding the Third Proportional to 368,840 and 809,104

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Solution

The third proportional to 368,840 and 809,104 is: 1,774,886.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,840 : 809,104 = 809,104 : x
  2. Step 2: Convert to fraction form
    368,840/809,104 = 809,104/x
  3. Step 3: Cross multiply
    368,840x = 809,104 × 809,104
  4. Step 4: Simplify right side
    368,840x = 654,649,282,816
  5. Step 5: Solve for x
    x = 654,649,282,816/368,840
  6. Step 6: Final answer
    x = 1,774,886.90

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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.