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Finding the Third Proportional to 21,638 and 46,507

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Solution

The third proportional to 21,638 and 46,507 is: 99,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638 : 46,507 = 46,507 : x
  2. Step 2: Convert to fraction form
    21,638/46,507 = 46,507/x
  3. Step 3: Cross multiply
    21,638x = 46,507 × 46,507
  4. Step 4: Simplify right side
    21,638x = 2,162,901,049
  5. Step 5: Solve for x
    x = 2,162,901,049/21,638
  6. Step 6: Final answer
    x = 99,958.45

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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.