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Finding the Third Proportional to 7,800 and 18,792

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Solution

The third proportional to 7,800 and 18,792 is: 45,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800 : 18,792 = 18,792 : x
  2. Step 2: Convert to fraction form
    7,800/18,792 = 18,792/x
  3. Step 3: Cross multiply
    7,800x = 18,792 × 18,792
  4. Step 4: Simplify right side
    7,800x = 353,139,264
  5. Step 5: Solve for x
    x = 353,139,264/7,800
  6. Step 6: Final answer
    x = 45,274.26

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.