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Finding the Third Proportional to 7,836 and 16,320

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Solution

The third proportional to 7,836 and 16,320 is: 33,989.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836 : 16,320 = 16,320 : x
  2. Step 2: Convert to fraction form
    7,836/16,320 = 16,320/x
  3. Step 3: Cross multiply
    7,836x = 16,320 × 16,320
  4. Step 4: Simplify right side
    7,836x = 266,342,400
  5. Step 5: Solve for x
    x = 266,342,400/7,836
  6. Step 6: Final answer
    x = 33,989.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.