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Finding the Third Proportional to 252.38 and 555.56

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Solution

The third proportional to 252.38 and 555.56 is: 1,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.38 : 555.56 = 555.56 : x
  2. Step 2: Convert to fraction form
    252.38/555.56 = 555.56/x
  3. Step 3: Cross multiply
    252.38x = 555.56 × 555.56
  4. Step 4: Simplify right side
    252.38x = 308,649.69
  5. Step 5: Solve for x
    x = 308,649.69/252.38
  6. Step 6: Final answer
    x = 1,222.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.