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Finding the Third Proportional to 51,678 and 112,320

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Solution

The third proportional to 51,678 and 112,320 is: 244,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,678 : 112,320 = 112,320 : x
  2. Step 2: Convert to fraction form
    51,678/112,320 = 112,320/x
  3. Step 3: Cross multiply
    51,678x = 112,320 × 112,320
  4. Step 4: Simplify right side
    51,678x = 12,615,782,400
  5. Step 5: Solve for x
    x = 12,615,782,400/51,678
  6. Step 6: Final answer
    x = 244,122.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.