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Finding the Third Proportional to 51,720 and 111,720

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Solution

The third proportional to 51,720 and 111,720 is: 241,325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,720 : 111,720 = 111,720 : x
  2. Step 2: Convert to fraction form
    51,720/111,720 = 111,720/x
  3. Step 3: Cross multiply
    51,720x = 111,720 × 111,720
  4. Step 4: Simplify right side
    51,720x = 12,481,358,400
  5. Step 5: Solve for x
    x = 12,481,358,400/51,720
  6. Step 6: Final answer
    x = 241,325.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.