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Finding the Third Proportional to 47,783 and 74,138

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Solution

The third proportional to 47,783 and 74,138 is: 115,029.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,783 : 74,138 = 74,138 : x
  2. Step 2: Convert to fraction form
    47,783/74,138 = 74,138/x
  3. Step 3: Cross multiply
    47,783x = 74,138 × 74,138
  4. Step 4: Simplify right side
    47,783x = 5,496,443,044
  5. Step 5: Solve for x
    x = 5,496,443,044/47,783
  6. Step 6: Final answer
    x = 115,029.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.