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Finding the Third Proportional to 21,645 and 27,658

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Solution

The third proportional to 21,645 and 27,658 is: 35,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,645 : 27,658 = 27,658 : x
  2. Step 2: Convert to fraction form
    21,645/27,658 = 27,658/x
  3. Step 3: Cross multiply
    21,645x = 27,658 × 27,658
  4. Step 4: Simplify right side
    21,645x = 764,964,964
  5. Step 5: Solve for x
    x = 764,964,964/21,645
  6. Step 6: Final answer
    x = 35,341.42

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.