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Finding the Third Proportional to 58,176 and 126,720

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Solution

The third proportional to 58,176 and 126,720 is: 276,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,176 : 126,720 = 126,720 : x
  2. Step 2: Convert to fraction form
    58,176/126,720 = 126,720/x
  3. Step 3: Cross multiply
    58,176x = 126,720 × 126,720
  4. Step 4: Simplify right side
    58,176x = 16,057,958,400
  5. Step 5: Solve for x
    x = 16,057,958,400/58,176
  6. Step 6: Final answer
    x = 276,023.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.