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Finding the Third Proportional to 321,138 and 759,462

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Solution

The third proportional to 321,138 and 759,462 is: 1,796,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,138 : 759,462 = 759,462 : x
  2. Step 2: Convert to fraction form
    321,138/759,462 = 759,462/x
  3. Step 3: Cross multiply
    321,138x = 759,462 × 759,462
  4. Step 4: Simplify right side
    321,138x = 576,782,529,444
  5. Step 5: Solve for x
    x = 576,782,529,444/321,138
  6. Step 6: Final answer
    x = 1,796,058.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.