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Finding the Third Proportional to 589.78 and 675.84

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Solution

The third proportional to 589.78 and 675.84 is: 774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 675.84 = 675.84 : x
  2. Step 2: Convert to fraction form
    589.78/675.84 = 675.84/x
  3. Step 3: Cross multiply
    589.78x = 675.84 × 675.84
  4. Step 4: Simplify right side
    589.78x = 456,764.77
  5. Step 5: Solve for x
    x = 456,764.77/589.78
  6. Step 6: Final answer
    x = 774.46

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.