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Finding the Third Proportional to 305,494 and 670,760

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Solution

The third proportional to 305,494 and 670,760 is: 1,472,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,494 : 670,760 = 670,760 : x
  2. Step 2: Convert to fraction form
    305,494/670,760 = 670,760/x
  3. Step 3: Cross multiply
    305,494x = 670,760 × 670,760
  4. Step 4: Simplify right side
    305,494x = 449,918,977,600
  5. Step 5: Solve for x
    x = 449,918,977,600/305,494
  6. Step 6: Final answer
    x = 1,472,758.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.