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Finding the Third Proportional to 20,178 and 46,890

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Solution

The third proportional to 20,178 and 46,890 is: 108,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178 : 46,890 = 46,890 : x
  2. Step 2: Convert to fraction form
    20,178/46,890 = 46,890/x
  3. Step 3: Cross multiply
    20,178x = 46,890 × 46,890
  4. Step 4: Simplify right side
    20,178x = 2,198,672,100
  5. Step 5: Solve for x
    x = 2,198,672,100/20,178
  6. Step 6: Final answer
    x = 108,963.83

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.