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Finding the Third Proportional to 181,378 and 397,764

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Solution

The third proportional to 181,378 and 397,764 is: 872,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,378 : 397,764 = 397,764 : x
  2. Step 2: Convert to fraction form
    181,378/397,764 = 397,764/x
  3. Step 3: Cross multiply
    181,378x = 397,764 × 397,764
  4. Step 4: Simplify right side
    181,378x = 158,216,199,696
  5. Step 5: Solve for x
    x = 158,216,199,696/181,378
  6. Step 6: Final answer
    x = 872,300.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.