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Finding the Third Proportional to 7,872 and 19,380

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Solution

The third proportional to 7,872 and 19,380 is: 47,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872 : 19,380 = 19,380 : x
  2. Step 2: Convert to fraction form
    7,872/19,380 = 19,380/x
  3. Step 3: Cross multiply
    7,872x = 19,380 × 19,380
  4. Step 4: Simplify right side
    7,872x = 375,584,400
  5. Step 5: Solve for x
    x = 375,584,400/7,872
  6. Step 6: Final answer
    x = 47,711.43

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.