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Finding the Third Proportional to 681.33 and 1,048.64

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Solution

The third proportional to 681.33 and 1,048.64 is: 1,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.33 : 1,048.64 = 1,048.64 : x
  2. Step 2: Convert to fraction form
    681.33/1,048.64 = 1,048.64/x
  3. Step 3: Cross multiply
    681.33x = 1,048.64 × 1,048.64
  4. Step 4: Simplify right side
    681.33x = 1,099,647.16
  5. Step 5: Solve for x
    x = 1,099,647.16/681.33
  6. Step 6: Final answer
    x = 1,613.98

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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.