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Finding the Third Proportional to 27,720 and 42,512

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Solution

The third proportional to 27,720 and 42,512 is: 65,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720 : 42,512 = 42,512 : x
  2. Step 2: Convert to fraction form
    27,720/42,512 = 42,512/x
  3. Step 3: Cross multiply
    27,720x = 42,512 × 42,512
  4. Step 4: Simplify right side
    27,720x = 1,807,270,144
  5. Step 5: Solve for x
    x = 1,807,270,144/27,720
  6. Step 6: Final answer
    x = 65,197.34

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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.