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Finding the Third Proportional to 19,820 and 26,949

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Solution

The third proportional to 19,820 and 26,949 is: 36,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820 : 26,949 = 26,949 : x
  2. Step 2: Convert to fraction form
    19,820/26,949 = 26,949/x
  3. Step 3: Cross multiply
    19,820x = 26,949 × 26,949
  4. Step 4: Simplify right side
    19,820x = 726,248,601
  5. Step 5: Solve for x
    x = 726,248,601/19,820
  6. Step 6: Final answer
    x = 36,642.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.