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Finding the Third Proportional to 8,720 and 18,917

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Solution

The third proportional to 8,720 and 18,917 is: 41,038.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720 : 18,917 = 18,917 : x
  2. Step 2: Convert to fraction form
    8,720/18,917 = 18,917/x
  3. Step 3: Cross multiply
    8,720x = 18,917 × 18,917
  4. Step 4: Simplify right side
    8,720x = 357,852,889
  5. Step 5: Solve for x
    x = 357,852,889/8,720
  6. Step 6: Final answer
    x = 41,038.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.