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Finding the Third Proportional to 1,992.50 and 4,630.25

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Solution

The third proportional to 1,992.50 and 4,630.25 is: 10,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.50 : 4,630.25 = 4,630.25 : x
  2. Step 2: Convert to fraction form
    1,992.50/4,630.25 = 4,630.25/x
  3. Step 3: Cross multiply
    1,992.50x = 4,630.25 × 4,630.25
  4. Step 4: Simplify right side
    1,992.50x = 21,439,215.06
  5. Step 5: Solve for x
    x = 21,439,215.06/1,992.50
  6. Step 6: Final answer
    x = 10,759.96

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.