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Finding the Third Proportional to 21,278 and 33,677

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Solution

The third proportional to 21,278 and 33,677 is: 53,301.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278 : 33,677 = 33,677 : x
  2. Step 2: Convert to fraction form
    21,278/33,677 = 33,677/x
  3. Step 3: Cross multiply
    21,278x = 33,677 × 33,677
  4. Step 4: Simplify right side
    21,278x = 1,134,140,329
  5. Step 5: Solve for x
    x = 1,134,140,329/21,278
  6. Step 6: Final answer
    x = 53,301.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.