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Finding the Third Proportional to 619.44 and 880.76

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Solution

The third proportional to 619.44 and 880.76 is: 1,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.44 : 880.76 = 880.76 : x
  2. Step 2: Convert to fraction form
    619.44/880.76 = 880.76/x
  3. Step 3: Cross multiply
    619.44x = 880.76 × 880.76
  4. Step 4: Simplify right side
    619.44x = 775,731.74
  5. Step 5: Solve for x
    x = 775,731.74/619.44
  6. Step 6: Final answer
    x = 1,252.30

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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.