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Finding the Third Proportional to 377,276 and 810,734

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Solution

The third proportional to 377,276 and 810,734 is: 1,742,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,276 : 810,734 = 810,734 : x
  2. Step 2: Convert to fraction form
    377,276/810,734 = 810,734/x
  3. Step 3: Cross multiply
    377,276x = 810,734 × 810,734
  4. Step 4: Simplify right side
    377,276x = 657,289,618,756
  5. Step 5: Solve for x
    x = 657,289,618,756/377,276
  6. Step 6: Final answer
    x = 1,742,198.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.