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Finding the Third Proportional to 7,800 and 17,112

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Solution

The third proportional to 7,800 and 17,112 is: 37,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800 : 17,112 = 17,112 : x
  2. Step 2: Convert to fraction form
    7,800/17,112 = 17,112/x
  3. Step 3: Cross multiply
    7,800x = 17,112 × 17,112
  4. Step 4: Simplify right side
    7,800x = 292,820,544
  5. Step 5: Solve for x
    x = 292,820,544/7,800
  6. Step 6: Final answer
    x = 37,541.10

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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.