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Finding the Third Proportional to 21,427 and 45,851

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Solution

The third proportional to 21,427 and 45,851 is: 98,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,427 : 45,851 = 45,851 : x
  2. Step 2: Convert to fraction form
    21,427/45,851 = 45,851/x
  3. Step 3: Cross multiply
    21,427x = 45,851 × 45,851
  4. Step 4: Simplify right side
    21,427x = 2,102,314,201
  5. Step 5: Solve for x
    x = 2,102,314,201/21,427
  6. Step 6: Final answer
    x = 98,115.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.