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Finding the Third Proportional to 809,118 and 1,165,509

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Solution

The third proportional to 809,118 and 1,165,509 is: 1,678,879.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,118 : 1,165,509 = 1,165,509 : x
  2. Step 2: Convert to fraction form
    809,118/1,165,509 = 1,165,509/x
  3. Step 3: Cross multiply
    809,118x = 1,165,509 × 1,165,509
  4. Step 4: Simplify right side
    809,118x = 1,358,411,229,081
  5. Step 5: Solve for x
    x = 1,358,411,229,081/809,118
  6. Step 6: Final answer
    x = 1,678,879.01

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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.