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Finding the Third Proportional to 14,072 and 21,216

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Solution

The third proportional to 14,072 and 21,216 is: 31,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072 : 21,216 = 21,216 : x
  2. Step 2: Convert to fraction form
    14,072/21,216 = 21,216/x
  3. Step 3: Cross multiply
    14,072x = 21,216 × 21,216
  4. Step 4: Simplify right side
    14,072x = 450,118,656
  5. Step 5: Solve for x
    x = 450,118,656/14,072
  6. Step 6: Final answer
    x = 31,986.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.