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Finding the Third Proportional to 809,369 and 1,187,808

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Solution

The third proportional to 809,369 and 1,187,808 is: 1,743,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,369 : 1,187,808 = 1,187,808 : x
  2. Step 2: Convert to fraction form
    809,369/1,187,808 = 1,187,808/x
  3. Step 3: Cross multiply
    809,369x = 1,187,808 × 1,187,808
  4. Step 4: Simplify right side
    809,369x = 1,410,887,844,864
  5. Step 5: Solve for x
    x = 1,410,887,844,864/809,369
  6. Step 6: Final answer
    x = 1,743,194.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.