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Finding the Third Proportional to 644.25 and 972.34

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Solution

The third proportional to 644.25 and 972.34 is: 1,467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.25 : 972.34 = 972.34 : x
  2. Step 2: Convert to fraction form
    644.25/972.34 = 972.34/x
  3. Step 3: Cross multiply
    644.25x = 972.34 × 972.34
  4. Step 4: Simplify right side
    644.25x = 945,452.37
  5. Step 5: Solve for x
    x = 945,452.37/644.25
  6. Step 6: Final answer
    x = 1,467.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.