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Finding the Third Proportional to 378.88 and 555.88

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Solution

The third proportional to 378.88 and 555.88 is: 815.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.88 : 555.88 = 555.88 : x
  2. Step 2: Convert to fraction form
    378.88/555.88 = 555.88/x
  3. Step 3: Cross multiply
    378.88x = 555.88 × 555.88
  4. Step 4: Simplify right side
    378.88x = 308,997.02
  5. Step 5: Solve for x
    x = 308,997.02/378.88
  6. Step 6: Final answer
    x = 815.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.