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Finding the Third Proportional to 27,512 and 42,480

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Solution

The third proportional to 27,512 and 42,480 is: 65,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,512 : 42,480 = 42,480 : x
  2. Step 2: Convert to fraction form
    27,512/42,480 = 42,480/x
  3. Step 3: Cross multiply
    27,512x = 42,480 × 42,480
  4. Step 4: Simplify right side
    27,512x = 1,804,550,400
  5. Step 5: Solve for x
    x = 1,804,550,400/27,512
  6. Step 6: Final answer
    x = 65,591.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.