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Finding the Third Proportional to 21,678 and 29,445

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Solution

The third proportional to 21,678 and 29,445 is: 39,994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678 : 29,445 = 29,445 : x
  2. Step 2: Convert to fraction form
    21,678/29,445 = 29,445/x
  3. Step 3: Cross multiply
    21,678x = 29,445 × 29,445
  4. Step 4: Simplify right side
    21,678x = 867,008,025
  5. Step 5: Solve for x
    x = 867,008,025/21,678
  6. Step 6: Final answer
    x = 39,994.83

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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.