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Finding the Third Proportional to 594.56 and 683.44

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Solution

The third proportional to 594.56 and 683.44 is: 785.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.56 : 683.44 = 683.44 : x
  2. Step 2: Convert to fraction form
    594.56/683.44 = 683.44/x
  3. Step 3: Cross multiply
    594.56x = 683.44 × 683.44
  4. Step 4: Simplify right side
    594.56x = 467,086.82
  5. Step 5: Solve for x
    x = 467,086.82/594.56
  6. Step 6: Final answer
    x = 785.60

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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.