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Finding the Third Proportional to 19,900 and 43,684

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Solution

The third proportional to 19,900 and 43,684 is: 95,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,900 : 43,684 = 43,684 : x
  2. Step 2: Convert to fraction form
    19,900/43,684 = 43,684/x
  3. Step 3: Cross multiply
    19,900x = 43,684 × 43,684
  4. Step 4: Simplify right side
    19,900x = 1,908,291,856
  5. Step 5: Solve for x
    x = 1,908,291,856/19,900
  6. Step 6: Final answer
    x = 95,894.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.