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Finding the Third Proportional to 358,977 and 783,149

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Solution

The third proportional to 358,977 and 783,149 is: 1,708,528.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,977 : 783,149 = 783,149 : x
  2. Step 2: Convert to fraction form
    358,977/783,149 = 783,149/x
  3. Step 3: Cross multiply
    358,977x = 783,149 × 783,149
  4. Step 4: Simplify right side
    358,977x = 613,322,356,201
  5. Step 5: Solve for x
    x = 613,322,356,201/358,977
  6. Step 6: Final answer
    x = 1,708,528.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.