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Finding the Third Proportional to 21,391 and 45,551

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Solution

The third proportional to 21,391 and 45,551 is: 96,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,391 : 45,551 = 45,551 : x
  2. Step 2: Convert to fraction form
    21,391/45,551 = 45,551/x
  3. Step 3: Cross multiply
    21,391x = 45,551 × 45,551
  4. Step 4: Simplify right side
    21,391x = 2,074,893,601
  5. Step 5: Solve for x
    x = 2,074,893,601/21,391
  6. Step 6: Final answer
    x = 96,998.44

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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.