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Finding the Third Proportional to 397,188 and 555,600

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Solution

The third proportional to 397,188 and 555,600 is: 777,192.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,188 : 555,600 = 555,600 : x
  2. Step 2: Convert to fraction form
    397,188/555,600 = 555,600/x
  3. Step 3: Cross multiply
    397,188x = 555,600 × 555,600
  4. Step 4: Simplify right side
    397,188x = 308,691,360,000
  5. Step 5: Solve for x
    x = 308,691,360,000/397,188
  6. Step 6: Final answer
    x = 777,192.06

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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.