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Finding the Third Proportional to 8,839 and 19,339

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Solution

The third proportional to 8,839 and 19,339 is: 42,312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,839 : 19,339 = 19,339 : x
  2. Step 2: Convert to fraction form
    8,839/19,339 = 19,339/x
  3. Step 3: Cross multiply
    8,839x = 19,339 × 19,339
  4. Step 4: Simplify right side
    8,839x = 373,996,921
  5. Step 5: Solve for x
    x = 373,996,921/8,839
  6. Step 6: Final answer
    x = 42,312.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.