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Finding the Third Proportional to 273.75 and 389.88

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Solution

The third proportional to 273.75 and 389.88 is: 555.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.75 : 389.88 = 389.88 : x
  2. Step 2: Convert to fraction form
    273.75/389.88 = 389.88/x
  3. Step 3: Cross multiply
    273.75x = 389.88 × 389.88
  4. Step 4: Simplify right side
    273.75x = 152,002.52
  5. Step 5: Solve for x
    x = 152,002.52/273.75
  6. Step 6: Final answer
    x = 555.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.