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Finding the Third Proportional to 4,543.50 and 9,980.25

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Solution

The third proportional to 4,543.50 and 9,980.25 is: 21,922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.50 : 9,980.25 = 9,980.25 : x
  2. Step 2: Convert to fraction form
    4,543.50/9,980.25 = 9,980.25/x
  3. Step 3: Cross multiply
    4,543.50x = 9,980.25 × 9,980.25
  4. Step 4: Simplify right side
    4,543.50x = 99,605,390.06
  5. Step 5: Solve for x
    x = 99,605,390.06/4,543.50
  6. Step 6: Final answer
    x = 21,922.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.