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Finding the Third Proportional to 21,427 and 46,508

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Solution

The third proportional to 21,427 and 46,508 is: 100,947.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,427 : 46,508 = 46,508 : x
  2. Step 2: Convert to fraction form
    21,427/46,508 = 46,508/x
  3. Step 3: Cross multiply
    21,427x = 46,508 × 46,508
  4. Step 4: Simplify right side
    21,427x = 2,162,994,064
  5. Step 5: Solve for x
    x = 2,162,994,064/21,427
  6. Step 6: Final answer
    x = 100,947.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.