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Finding the Third Proportional to 397,168 and 555,576

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Solution

The third proportional to 397,168 and 555,576 is: 777,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,168 : 555,576 = 555,576 : x
  2. Step 2: Convert to fraction form
    397,168/555,576 = 555,576/x
  3. Step 3: Cross multiply
    397,168x = 555,576 × 555,576
  4. Step 4: Simplify right side
    397,168x = 308,664,691,776
  5. Step 5: Solve for x
    x = 308,664,691,776/397,168
  6. Step 6: Final answer
    x = 777,164.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.