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Finding the Third Proportional to 7,980 and 18,780

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Solution

The third proportional to 7,980 and 18,780 is: 44,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980 : 18,780 = 18,780 : x
  2. Step 2: Convert to fraction form
    7,980/18,780 = 18,780/x
  3. Step 3: Cross multiply
    7,980x = 18,780 × 18,780
  4. Step 4: Simplify right side
    7,980x = 352,688,400
  5. Step 5: Solve for x
    x = 352,688,400/7,980
  6. Step 6: Final answer
    x = 44,196.54

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.