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Finding the Third Proportional to 7,920 and 14,085

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Solution

The third proportional to 7,920 and 14,085 is: 25,048.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920 : 14,085 = 14,085 : x
  2. Step 2: Convert to fraction form
    7,920/14,085 = 14,085/x
  3. Step 3: Cross multiply
    7,920x = 14,085 × 14,085
  4. Step 4: Simplify right side
    7,920x = 198,387,225
  5. Step 5: Solve for x
    x = 198,387,225/7,920
  6. Step 6: Final answer
    x = 25,048.89

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.