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Finding the Third Proportional to 21,809 and 46,471

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Solution

The third proportional to 21,809 and 46,471 is: 99,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809 : 46,471 = 46,471 : x
  2. Step 2: Convert to fraction form
    21,809/46,471 = 46,471/x
  3. Step 3: Cross multiply
    21,809x = 46,471 × 46,471
  4. Step 4: Simplify right side
    21,809x = 2,159,553,841
  5. Step 5: Solve for x
    x = 2,159,553,841/21,809
  6. Step 6: Final answer
    x = 99,021.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.