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Finding the Third Proportional to 831,503 and 918,983

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Solution

The third proportional to 831,503 and 918,983 is: 1,015,666.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,503 : 918,983 = 918,983 : x
  2. Step 2: Convert to fraction form
    831,503/918,983 = 918,983/x
  3. Step 3: Cross multiply
    831,503x = 918,983 × 918,983
  4. Step 4: Simplify right side
    831,503x = 844,529,754,289
  5. Step 5: Solve for x
    x = 844,529,754,289/831,503
  6. Step 6: Final answer
    x = 1,015,666.52

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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.