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Finding the Third Proportional to 802,109 and 1,783,543

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Solution

The third proportional to 802,109 and 1,783,543 is: 3,965,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,109 : 1,783,543 = 1,783,543 : x
  2. Step 2: Convert to fraction form
    802,109/1,783,543 = 1,783,543/x
  3. Step 3: Cross multiply
    802,109x = 1,783,543 × 1,783,543
  4. Step 4: Simplify right side
    802,109x = 3,181,025,632,849
  5. Step 5: Solve for x
    x = 3,181,025,632,849/802,109
  6. Step 6: Final answer
    x = 3,965,827.13

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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.