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Finding the Third Proportional to 8,911 and 19,339

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Solution

The third proportional to 8,911 and 19,339 is: 41,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911 : 19,339 = 19,339 : x
  2. Step 2: Convert to fraction form
    8,911/19,339 = 19,339/x
  3. Step 3: Cross multiply
    8,911x = 19,339 × 19,339
  4. Step 4: Simplify right side
    8,911x = 373,996,921
  5. Step 5: Solve for x
    x = 373,996,921/8,911
  6. Step 6: Final answer
    x = 41,970.25

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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.