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Finding the Third Proportional to 21,511 and 46,991

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Solution

The third proportional to 21,511 and 46,991 is: 102,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,511 : 46,991 = 46,991 : x
  2. Step 2: Convert to fraction form
    21,511/46,991 = 46,991/x
  3. Step 3: Cross multiply
    21,511x = 46,991 × 46,991
  4. Step 4: Simplify right side
    21,511x = 2,208,154,081
  5. Step 5: Solve for x
    x = 2,208,154,081/21,511
  6. Step 6: Final answer
    x = 102,652.32

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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.