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Finding the Third Proportional to 27,645 and 42,876

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Solution

The third proportional to 27,645 and 42,876 is: 66,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,645 : 42,876 = 42,876 : x
  2. Step 2: Convert to fraction form
    27,645/42,876 = 42,876/x
  3. Step 3: Cross multiply
    27,645x = 42,876 × 42,876
  4. Step 4: Simplify right side
    27,645x = 1,838,351,376
  5. Step 5: Solve for x
    x = 1,838,351,376/27,645
  6. Step 6: Final answer
    x = 66,498.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.