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Finding the Third Proportional to 858,485 and 1,328,057

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Solution

The third proportional to 858,485 and 1,328,057 is: 2,054,474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,485 : 1,328,057 = 1,328,057 : x
  2. Step 2: Convert to fraction form
    858,485/1,328,057 = 1,328,057/x
  3. Step 3: Cross multiply
    858,485x = 1,328,057 × 1,328,057
  4. Step 4: Simplify right side
    858,485x = 1,763,735,395,249
  5. Step 5: Solve for x
    x = 1,763,735,395,249/858,485
  6. Step 6: Final answer
    x = 2,054,474.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.