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Finding the Third Proportional to 14,420 and 21,205

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Solution

The third proportional to 14,420 and 21,205 is: 31,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420 : 21,205 = 21,205 : x
  2. Step 2: Convert to fraction form
    14,420/21,205 = 21,205/x
  3. Step 3: Cross multiply
    14,420x = 21,205 × 21,205
  4. Step 4: Simplify right side
    14,420x = 449,652,025
  5. Step 5: Solve for x
    x = 449,652,025/14,420
  6. Step 6: Final answer
    x = 31,182.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.