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Finding the Third Proportional to 14,780 and 21,619

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Solution

The third proportional to 14,780 and 21,619 is: 31,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780 : 21,619 = 21,619 : x
  2. Step 2: Convert to fraction form
    14,780/21,619 = 21,619/x
  3. Step 3: Cross multiply
    14,780x = 21,619 × 21,619
  4. Step 4: Simplify right side
    14,780x = 467,381,161
  5. Step 5: Solve for x
    x = 467,381,161/14,780
  6. Step 6: Final answer
    x = 31,622.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.