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Finding the Third Proportional to 403,828 and 849,512

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Solution

The third proportional to 403,828 and 849,512 is: 1,787,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,828 : 849,512 = 849,512 : x
  2. Step 2: Convert to fraction form
    403,828/849,512 = 849,512/x
  3. Step 3: Cross multiply
    403,828x = 849,512 × 849,512
  4. Step 4: Simplify right side
    403,828x = 721,670,638,144
  5. Step 5: Solve for x
    x = 721,670,638,144/403,828
  6. Step 6: Final answer
    x = 1,787,074.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.