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Finding the Third Proportional to 21,518 and 46,930

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Solution

The third proportional to 21,518 and 46,930 is: 102,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,518 : 46,930 = 46,930 : x
  2. Step 2: Convert to fraction form
    21,518/46,930 = 46,930/x
  3. Step 3: Cross multiply
    21,518x = 46,930 × 46,930
  4. Step 4: Simplify right side
    21,518x = 2,202,424,900
  5. Step 5: Solve for x
    x = 2,202,424,900/21,518
  6. Step 6: Final answer
    x = 102,352.68

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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.