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Finding the Third Proportional to 14,619 and 21,380

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Solution

The third proportional to 14,619 and 21,380 is: 31,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,619 : 21,380 = 21,380 : x
  2. Step 2: Convert to fraction form
    14,619/21,380 = 21,380/x
  3. Step 3: Cross multiply
    14,619x = 21,380 × 21,380
  4. Step 4: Simplify right side
    14,619x = 457,104,400
  5. Step 5: Solve for x
    x = 457,104,400/14,619
  6. Step 6: Final answer
    x = 31,267.83

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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.