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Finding the Third Proportional to 5,048 and 10,897

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Solution

The third proportional to 5,048 and 10,897 is: 23,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048 : 10,897 = 10,897 : x
  2. Step 2: Convert to fraction form
    5,048/10,897 = 10,897/x
  3. Step 3: Cross multiply
    5,048x = 10,897 × 10,897
  4. Step 4: Simplify right side
    5,048x = 118,744,609
  5. Step 5: Solve for x
    x = 118,744,609/5,048
  6. Step 6: Final answer
    x = 23,523.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.