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Finding the Third Proportional to 802,116 and 1,783,556

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Solution

The third proportional to 802,116 and 1,783,556 is: 3,965,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,116 : 1,783,556 = 1,783,556 : x
  2. Step 2: Convert to fraction form
    802,116/1,783,556 = 1,783,556/x
  3. Step 3: Cross multiply
    802,116x = 1,783,556 × 1,783,556
  4. Step 4: Simplify right side
    802,116x = 3,181,072,005,136
  5. Step 5: Solve for x
    x = 3,181,072,005,136/802,116
  6. Step 6: Final answer
    x = 3,965,850.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.