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Finding the Third Proportional to 8,680 and 19,918

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Solution

The third proportional to 8,680 and 19,918 is: 45,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,680 : 19,918 = 19,918 : x
  2. Step 2: Convert to fraction form
    8,680/19,918 = 19,918/x
  3. Step 3: Cross multiply
    8,680x = 19,918 × 19,918
  4. Step 4: Simplify right side
    8,680x = 396,726,724
  5. Step 5: Solve for x
    x = 396,726,724/8,680
  6. Step 6: Final answer
    x = 45,705.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.