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Finding the Third Proportional to 864,544 and 1,389,075

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Solution

The third proportional to 864,544 and 1,389,075 is: 2,231,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,544 : 1,389,075 = 1,389,075 : x
  2. Step 2: Convert to fraction form
    864,544/1,389,075 = 1,389,075/x
  3. Step 3: Cross multiply
    864,544x = 1,389,075 × 1,389,075
  4. Step 4: Simplify right side
    864,544x = 1,929,529,355,625
  5. Step 5: Solve for x
    x = 1,929,529,355,625/864,544
  6. Step 6: Final answer
    x = 2,231,846.33

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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.