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Finding the Third Proportional to 19,877 and 26,899

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Solution

The third proportional to 19,877 and 26,899 is: 36,401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877 : 26,899 = 26,899 : x
  2. Step 2: Convert to fraction form
    19,877/26,899 = 26,899/x
  3. Step 3: Cross multiply
    19,877x = 26,899 × 26,899
  4. Step 4: Simplify right side
    19,877x = 723,556,201
  5. Step 5: Solve for x
    x = 723,556,201/19,877
  6. Step 6: Final answer
    x = 36,401.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.