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Finding the Third Proportional to 668.63 and 1,538.63

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Solution

The third proportional to 668.63 and 1,538.63 is: 3,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.63 : 1,538.63 = 1,538.63 : x
  2. Step 2: Convert to fraction form
    668.63/1,538.63 = 1,538.63/x
  3. Step 3: Cross multiply
    668.63x = 1,538.63 × 1,538.63
  4. Step 4: Simplify right side
    668.63x = 2,367,366.89
  5. Step 5: Solve for x
    x = 2,367,366.89/668.63
  6. Step 6: Final answer
    x = 3,540.65

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.