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Finding the Third Proportional to 357,647 and 744,670

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Solution

The third proportional to 357,647 and 744,670 is: 1,550,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,647 : 744,670 = 744,670 : x
  2. Step 2: Convert to fraction form
    357,647/744,670 = 744,670/x
  3. Step 3: Cross multiply
    357,647x = 744,670 × 744,670
  4. Step 4: Simplify right side
    357,647x = 554,533,408,900
  5. Step 5: Solve for x
    x = 554,533,408,900/357,647
  6. Step 6: Final answer
    x = 1,550,504.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.