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Finding the Third Proportional to 279,124 and 409,614

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Solution

The third proportional to 279,124 and 409,614 is: 601,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,124 : 409,614 = 409,614 : x
  2. Step 2: Convert to fraction form
    279,124/409,614 = 409,614/x
  3. Step 3: Cross multiply
    279,124x = 409,614 × 409,614
  4. Step 4: Simplify right side
    279,124x = 167,783,628,996
  5. Step 5: Solve for x
    x = 167,783,628,996/279,124
  6. Step 6: Final answer
    x = 601,107.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.