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Finding the Third Proportional to 681.75 and 1,643.63

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Solution

The third proportional to 681.75 and 1,643.63 is: 3,962.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.75 : 1,643.63 = 1,643.63 : x
  2. Step 2: Convert to fraction form
    681.75/1,643.63 = 1,643.63/x
  3. Step 3: Cross multiply
    681.75x = 1,643.63 × 1,643.63
  4. Step 4: Simplify right side
    681.75x = 2,701,503.14
  5. Step 5: Solve for x
    x = 2,701,503.14/681.75
  6. Step 6: Final answer
    x = 3,962.60

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.