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Finding the Third Proportional to 860,162 and 1,203,057

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Solution

The third proportional to 860,162 and 1,203,057 is: 1,682,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,162 : 1,203,057 = 1,203,057 : x
  2. Step 2: Convert to fraction form
    860,162/1,203,057 = 1,203,057/x
  3. Step 3: Cross multiply
    860,162x = 1,203,057 × 1,203,057
  4. Step 4: Simplify right side
    860,162x = 1,447,346,145,249
  5. Step 5: Solve for x
    x = 1,447,346,145,249/860,162
  6. Step 6: Final answer
    x = 1,682,643.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.