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Finding the Third Proportional to 8,820 and 19,859

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Solution

The third proportional to 8,820 and 19,859 is: 44,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,820 : 19,859 = 19,859 : x
  2. Step 2: Convert to fraction form
    8,820/19,859 = 19,859/x
  3. Step 3: Cross multiply
    8,820x = 19,859 × 19,859
  4. Step 4: Simplify right side
    8,820x = 394,379,881
  5. Step 5: Solve for x
    x = 394,379,881/8,820
  6. Step 6: Final answer
    x = 44,714.27

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.