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Finding the Third Proportional to 351,021 and 684,546

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Solution

The third proportional to 351,021 and 684,546 is: 1,334,972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,021 : 684,546 = 684,546 : x
  2. Step 2: Convert to fraction form
    351,021/684,546 = 684,546/x
  3. Step 3: Cross multiply
    351,021x = 684,546 × 684,546
  4. Step 4: Simplify right side
    351,021x = 468,603,226,116
  5. Step 5: Solve for x
    x = 468,603,226,116/351,021
  6. Step 6: Final answer
    x = 1,334,972.06

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.