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Finding the Third Proportional to 21,820 and 29,018

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Solution

The third proportional to 21,820 and 29,018 is: 38,590.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820 : 29,018 = 29,018 : x
  2. Step 2: Convert to fraction form
    21,820/29,018 = 29,018/x
  3. Step 3: Cross multiply
    21,820x = 29,018 × 29,018
  4. Step 4: Simplify right side
    21,820x = 842,044,324
  5. Step 5: Solve for x
    x = 842,044,324/21,820
  6. Step 6: Final answer
    x = 38,590.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.