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Finding the Third Proportional to 19,892 and 26,920

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Solution

The third proportional to 19,892 and 26,920 is: 36,431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892 : 26,920 = 26,920 : x
  2. Step 2: Convert to fraction form
    19,892/26,920 = 26,920/x
  3. Step 3: Cross multiply
    19,892x = 26,920 × 26,920
  4. Step 4: Simplify right side
    19,892x = 724,686,400
  5. Step 5: Solve for x
    x = 724,686,400/19,892
  6. Step 6: Final answer
    x = 36,431.05

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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.