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Finding the Third Proportional to 279,994 and 614,420

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Solution

The third proportional to 279,994 and 614,420 is: 1,348,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,994 : 614,420 = 614,420 : x
  2. Step 2: Convert to fraction form
    279,994/614,420 = 614,420/x
  3. Step 3: Cross multiply
    279,994x = 614,420 × 614,420
  4. Step 4: Simplify right side
    279,994x = 377,511,936,400
  5. Step 5: Solve for x
    x = 377,511,936,400/279,994
  6. Step 6: Final answer
    x = 1,348,285.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.