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Finding the Third Proportional to 21,427 and 44,343

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Solution

The third proportional to 21,427 and 44,343 is: 91,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,427 : 44,343 = 44,343 : x
  2. Step 2: Convert to fraction form
    21,427/44,343 = 44,343/x
  3. Step 3: Cross multiply
    21,427x = 44,343 × 44,343
  4. Step 4: Simplify right side
    21,427x = 1,966,301,649
  5. Step 5: Solve for x
    x = 1,966,301,649/21,427
  6. Step 6: Final answer
    x = 91,767.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.