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Finding the Third Proportional to 27,965 and 42,677

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Solution

The third proportional to 27,965 and 42,677 is: 65,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,965 : 42,677 = 42,677 : x
  2. Step 2: Convert to fraction form
    27,965/42,677 = 42,677/x
  3. Step 3: Cross multiply
    27,965x = 42,677 × 42,677
  4. Step 4: Simplify right side
    27,965x = 1,821,326,329
  5. Step 5: Solve for x
    x = 1,821,326,329/27,965
  6. Step 6: Final answer
    x = 65,128.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.