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Finding the Third Proportional to 27,245 and 42,447

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Solution

The third proportional to 27,245 and 42,447 is: 66,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,245 : 42,447 = 42,447 : x
  2. Step 2: Convert to fraction form
    27,245/42,447 = 42,447/x
  3. Step 3: Cross multiply
    27,245x = 42,447 × 42,447
  4. Step 4: Simplify right side
    27,245x = 1,801,747,809
  5. Step 5: Solve for x
    x = 1,801,747,809/27,245
  6. Step 6: Final answer
    x = 66,131.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.