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Finding the Third Proportional to 19,890 and 43,295.63

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Solution

The third proportional to 19,890 and 43,295.63 is: 94,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,890 : 43,295.63 = 43,295.63 : x
  2. Step 2: Convert to fraction form
    19,890/43,295.63 = 43,295.63/x
  3. Step 3: Cross multiply
    19,890x = 43,295.63 × 43,295.63
  4. Step 4: Simplify right side
    19,890x = 1,874,511,144.14
  5. Step 5: Solve for x
    x = 1,874,511,144.14/19,890
  6. Step 6: Final answer
    x = 94,243.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.