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Finding the Third Proportional to 20,370 and 27,038

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Solution

The third proportional to 20,370 and 27,038 is: 35,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,370 : 27,038 = 27,038 : x
  2. Step 2: Convert to fraction form
    20,370/27,038 = 27,038/x
  3. Step 3: Cross multiply
    20,370x = 27,038 × 27,038
  4. Step 4: Simplify right side
    20,370x = 731,053,444
  5. Step 5: Solve for x
    x = 731,053,444/20,370
  6. Step 6: Final answer
    x = 35,888.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.