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Finding the Third Proportional to 51,520 and 112,880

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Solution

The third proportional to 51,520 and 112,880 is: 247,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,520 : 112,880 = 112,880 : x
  2. Step 2: Convert to fraction form
    51,520/112,880 = 112,880/x
  3. Step 3: Cross multiply
    51,520x = 112,880 × 112,880
  4. Step 4: Simplify right side
    51,520x = 12,741,894,400
  5. Step 5: Solve for x
    x = 12,741,894,400/51,520
  6. Step 6: Final answer
    x = 247,319.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.