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Finding the Third Proportional to 21,660 and 46,605

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Solution

The third proportional to 21,660 and 46,605 is: 100,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,660 : 46,605 = 46,605 : x
  2. Step 2: Convert to fraction form
    21,660/46,605 = 46,605/x
  3. Step 3: Cross multiply
    21,660x = 46,605 × 46,605
  4. Step 4: Simplify right side
    21,660x = 2,172,026,025
  5. Step 5: Solve for x
    x = 2,172,026,025/21,660
  6. Step 6: Final answer
    x = 100,278.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.