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Finding the Third Proportional to 19,890 and 26,914

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Solution

The third proportional to 19,890 and 26,914 is: 36,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,890 : 26,914 = 26,914 : x
  2. Step 2: Convert to fraction form
    19,890/26,914 = 26,914/x
  3. Step 3: Cross multiply
    19,890x = 26,914 × 26,914
  4. Step 4: Simplify right side
    19,890x = 724,363,396
  5. Step 5: Solve for x
    x = 724,363,396/19,890
  6. Step 6: Final answer
    x = 36,418.47

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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.