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Finding the Third Proportional to 30,183 and 65,555.63

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Solution

The third proportional to 30,183 and 65,555.63 is: 142,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,183 : 65,555.63 = 65,555.63 : x
  2. Step 2: Convert to fraction form
    30,183/65,555.63 = 65,555.63/x
  3. Step 3: Cross multiply
    30,183x = 65,555.63 × 65,555.63
  4. Step 4: Simplify right side
    30,183x = 4,297,539,969.14
  5. Step 5: Solve for x
    x = 4,297,539,969.14/30,183
  6. Step 6: Final answer
    x = 142,382.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.