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Finding the Third Proportional to 18,930 and 39,819.75

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Solution

The third proportional to 18,930 and 39,819.75 is: 83,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,930 : 39,819.75 = 39,819.75 : x
  2. Step 2: Convert to fraction form
    18,930/39,819.75 = 39,819.75/x
  3. Step 3: Cross multiply
    18,930x = 39,819.75 × 39,819.75
  4. Step 4: Simplify right side
    18,930x = 1,585,612,490.06
  5. Step 5: Solve for x
    x = 1,585,612,490.06/18,930
  6. Step 6: Final answer
    x = 83,761.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.