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Finding the Third Proportional to 11,488 and 18,431

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Solution

The third proportional to 11,488 and 18,431 is: 29,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488 : 18,431 = 18,431 : x
  2. Step 2: Convert to fraction form
    11,488/18,431 = 18,431/x
  3. Step 3: Cross multiply
    11,488x = 18,431 × 18,431
  4. Step 4: Simplify right side
    11,488x = 339,701,761
  5. Step 5: Solve for x
    x = 339,701,761/11,488
  6. Step 6: Final answer
    x = 29,570.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.