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Finding the Third Proportional to 18,820 and 21,508

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Solution

The third proportional to 18,820 and 21,508 is: 24,579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,820 : 21,508 = 21,508 : x
  2. Step 2: Convert to fraction form
    18,820/21,508 = 21,508/x
  3. Step 3: Cross multiply
    18,820x = 21,508 × 21,508
  4. Step 4: Simplify right side
    18,820x = 462,594,064
  5. Step 5: Solve for x
    x = 462,594,064/18,820
  6. Step 6: Final answer
    x = 24,579.92

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.