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Finding the Third Proportional to 27,247 and 42,815

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Solution

The third proportional to 27,247 and 42,815 is: 67,278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,247 : 42,815 = 42,815 : x
  2. Step 2: Convert to fraction form
    27,247/42,815 = 42,815/x
  3. Step 3: Cross multiply
    27,247x = 42,815 × 42,815
  4. Step 4: Simplify right side
    27,247x = 1,833,124,225
  5. Step 5: Solve for x
    x = 1,833,124,225/27,247
  6. Step 6: Final answer
    x = 67,278.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.