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Finding the Third Proportional to 21,811 and 46,475

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Solution

The third proportional to 21,811 and 46,475 is: 99,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811 : 46,475 = 46,475 : x
  2. Step 2: Convert to fraction form
    21,811/46,475 = 46,475/x
  3. Step 3: Cross multiply
    21,811x = 46,475 × 46,475
  4. Step 4: Simplify right side
    21,811x = 2,159,925,625
  5. Step 5: Solve for x
    x = 2,159,925,625/21,811
  6. Step 6: Final answer
    x = 99,029.19

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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.