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Finding the Third Proportional to 212,994 and 323,379

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Solution

The third proportional to 212,994 and 323,379 is: 490,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,994 : 323,379 = 323,379 : x
  2. Step 2: Convert to fraction form
    212,994/323,379 = 323,379/x
  3. Step 3: Cross multiply
    212,994x = 323,379 × 323,379
  4. Step 4: Simplify right side
    212,994x = 104,573,977,641
  5. Step 5: Solve for x
    x = 104,573,977,641/212,994
  6. Step 6: Final answer
    x = 490,971.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.