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Finding the Third Proportional to 57,180 and 87,960

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Solution

The third proportional to 57,180 and 87,960 is: 135,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,180 : 87,960 = 87,960 : x
  2. Step 2: Convert to fraction form
    57,180/87,960 = 87,960/x
  3. Step 3: Cross multiply
    57,180x = 87,960 × 87,960
  4. Step 4: Simplify right side
    57,180x = 7,736,961,600
  5. Step 5: Solve for x
    x = 7,736,961,600/57,180
  6. Step 6: Final answer
    x = 135,308.88

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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.