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Finding the Third Proportional to 348,474 and 490,740

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Solution

The third proportional to 348,474 and 490,740 is: 691,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,474 : 490,740 = 490,740 : x
  2. Step 2: Convert to fraction form
    348,474/490,740 = 490,740/x
  3. Step 3: Cross multiply
    348,474x = 490,740 × 490,740
  4. Step 4: Simplify right side
    348,474x = 240,825,747,600
  5. Step 5: Solve for x
    x = 240,825,747,600/348,474
  6. Step 6: Final answer
    x = 691,086.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.