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Finding the Third Proportional to 668.53 and 1,028.88

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Solution

The third proportional to 668.53 and 1,028.88 is: 1,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.53 : 1,028.88 = 1,028.88 : x
  2. Step 2: Convert to fraction form
    668.53/1,028.88 = 1,028.88/x
  3. Step 3: Cross multiply
    668.53x = 1,028.88 × 1,028.88
  4. Step 4: Simplify right side
    668.53x = 1,058,599.84
  5. Step 5: Solve for x
    x = 1,058,599.84/668.53
  6. Step 6: Final answer
    x = 1,583.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.