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Finding the Third Proportional to 20,072 and 43,386

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Solution

The third proportional to 20,072 and 43,386 is: 93,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072 : 43,386 = 43,386 : x
  2. Step 2: Convert to fraction form
    20,072/43,386 = 43,386/x
  3. Step 3: Cross multiply
    20,072x = 43,386 × 43,386
  4. Step 4: Simplify right side
    20,072x = 1,882,344,996
  5. Step 5: Solve for x
    x = 1,882,344,996/20,072
  6. Step 6: Final answer
    x = 93,779.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.