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Finding the Third Proportional to 831,828 and 1,242,198

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Solution

The third proportional to 831,828 and 1,242,198 is: 1,855,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,828 : 1,242,198 = 1,242,198 : x
  2. Step 2: Convert to fraction form
    831,828/1,242,198 = 1,242,198/x
  3. Step 3: Cross multiply
    831,828x = 1,242,198 × 1,242,198
  4. Step 4: Simplify right side
    831,828x = 1,543,055,871,204
  5. Step 5: Solve for x
    x = 1,543,055,871,204/831,828
  6. Step 6: Final answer
    x = 1,855,017.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.