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Finding the Third Proportional to 644.63 and 699.75

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Solution

The third proportional to 644.63 and 699.75 is: 759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.63 : 699.75 = 699.75 : x
  2. Step 2: Convert to fraction form
    644.63/699.75 = 699.75/x
  3. Step 3: Cross multiply
    644.63x = 699.75 × 699.75
  4. Step 4: Simplify right side
    644.63x = 489,650.06
  5. Step 5: Solve for x
    x = 489,650.06/644.63
  6. Step 6: Final answer
    x = 759.59

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.