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Finding the Third Proportional to 47,940.50 and 102,032

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Solution

The third proportional to 47,940.50 and 102,032 is: 217,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,940.50 : 102,032 = 102,032 : x
  2. Step 2: Convert to fraction form
    47,940.50/102,032 = 102,032/x
  3. Step 3: Cross multiply
    47,940.50x = 102,032 × 102,032
  4. Step 4: Simplify right side
    47,940.50x = 10,410,529,024
  5. Step 5: Solve for x
    x = 10,410,529,024/47,940.50
  6. Step 6: Final answer
    x = 217,155.20

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.