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Finding the Third Proportional to 47,380 and 102,052

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Solution

The third proportional to 47,380 and 102,052 is: 219,810.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,380 : 102,052 = 102,052 : x
  2. Step 2: Convert to fraction form
    47,380/102,052 = 102,052/x
  3. Step 3: Cross multiply
    47,380x = 102,052 × 102,052
  4. Step 4: Simplify right side
    47,380x = 10,414,610,704
  5. Step 5: Solve for x
    x = 10,414,610,704/47,380
  6. Step 6: Final answer
    x = 219,810.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.