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Finding the Third Proportional to 809,409 and 1,169,355

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Solution

The third proportional to 809,409 and 1,169,355 is: 1,689,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,409 : 1,169,355 = 1,169,355 : x
  2. Step 2: Convert to fraction form
    809,409/1,169,355 = 1,169,355/x
  3. Step 3: Cross multiply
    809,409x = 1,169,355 × 1,169,355
  4. Step 4: Simplify right side
    809,409x = 1,367,391,116,025
  5. Step 5: Solve for x
    x = 1,367,391,116,025/809,409
  6. Step 6: Final answer
    x = 1,689,369.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.