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Finding the Third Proportional to 425.44 and 644.53

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Solution

The third proportional to 425.44 and 644.53 is: 976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.44 : 644.53 = 644.53 : x
  2. Step 2: Convert to fraction form
    425.44/644.53 = 644.53/x
  3. Step 3: Cross multiply
    425.44x = 644.53 × 644.53
  4. Step 4: Simplify right side
    425.44x = 415,420.53
  5. Step 5: Solve for x
    x = 415,420.53/425.44
  6. Step 6: Final answer
    x = 976.45

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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.