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Finding the Third Proportional to 820,595 and 1,318,467

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Solution

The third proportional to 820,595 and 1,318,467 is: 2,118,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,595 : 1,318,467 = 1,318,467 : x
  2. Step 2: Convert to fraction form
    820,595/1,318,467 = 1,318,467/x
  3. Step 3: Cross multiply
    820,595x = 1,318,467 × 1,318,467
  4. Step 4: Simplify right side
    820,595x = 1,738,355,230,089
  5. Step 5: Solve for x
    x = 1,738,355,230,089/820,595
  6. Step 6: Final answer
    x = 2,118,408.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.