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Finding the Third Proportional to 831,501 and 918,981

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Solution

The third proportional to 831,501 and 918,981 is: 1,015,664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,501 : 918,981 = 918,981 : x
  2. Step 2: Convert to fraction form
    831,501/918,981 = 918,981/x
  3. Step 3: Cross multiply
    831,501x = 918,981 × 918,981
  4. Step 4: Simplify right side
    831,501x = 844,526,078,361
  5. Step 5: Solve for x
    x = 844,526,078,361/831,501
  6. Step 6: Final answer
    x = 1,015,664.54

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.