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Finding the Third Proportional to 21,402 and 47,723

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Solution

The third proportional to 21,402 and 47,723 is: 106,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402 : 47,723 = 47,723 : x
  2. Step 2: Convert to fraction form
    21,402/47,723 = 47,723/x
  3. Step 3: Cross multiply
    21,402x = 47,723 × 47,723
  4. Step 4: Simplify right side
    21,402x = 2,277,484,729
  5. Step 5: Solve for x
    x = 2,277,484,729/21,402
  6. Step 6: Final answer
    x = 106,414.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.