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Finding the Third Proportional to 21,614 and 39,676

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Solution

The third proportional to 21,614 and 39,676 is: 72,831.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614 : 39,676 = 39,676 : x
  2. Step 2: Convert to fraction form
    21,614/39,676 = 39,676/x
  3. Step 3: Cross multiply
    21,614x = 39,676 × 39,676
  4. Step 4: Simplify right side
    21,614x = 1,574,184,976
  5. Step 5: Solve for x
    x = 1,574,184,976/21,614
  6. Step 6: Final answer
    x = 72,831.73

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.