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Finding the Third Proportional to 13,448 and 20,072

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Solution

The third proportional to 13,448 and 20,072 is: 29,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,448 : 20,072 = 20,072 : x
  2. Step 2: Convert to fraction form
    13,448/20,072 = 20,072/x
  3. Step 3: Cross multiply
    13,448x = 20,072 × 20,072
  4. Step 4: Simplify right side
    13,448x = 402,885,184
  5. Step 5: Solve for x
    x = 402,885,184/13,448
  6. Step 6: Final answer
    x = 29,958.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.