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Finding the Third Proportional to 21,517 and 46,147

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Solution

The third proportional to 21,517 and 46,147 is: 98,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,517 : 46,147 = 46,147 : x
  2. Step 2: Convert to fraction form
    21,517/46,147 = 46,147/x
  3. Step 3: Cross multiply
    21,517x = 46,147 × 46,147
  4. Step 4: Simplify right side
    21,517x = 2,129,545,609
  5. Step 5: Solve for x
    x = 2,129,545,609/21,517
  6. Step 6: Final answer
    x = 98,970.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.