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Finding the Third Proportional to 261,747 and 394,804

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Solution

The third proportional to 261,747 and 394,804 is: 595,499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,747 : 394,804 = 394,804 : x
  2. Step 2: Convert to fraction form
    261,747/394,804 = 394,804/x
  3. Step 3: Cross multiply
    261,747x = 394,804 × 394,804
  4. Step 4: Simplify right side
    261,747x = 155,870,198,416
  5. Step 5: Solve for x
    x = 155,870,198,416/261,747
  6. Step 6: Final answer
    x = 595,499.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.