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Finding the Third Proportional to 10,291 and 15,411

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Solution

The third proportional to 10,291 and 15,411 is: 23,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291 : 15,411 = 15,411 : x
  2. Step 2: Convert to fraction form
    10,291/15,411 = 15,411/x
  3. Step 3: Cross multiply
    10,291x = 15,411 × 15,411
  4. Step 4: Simplify right side
    10,291x = 237,498,921
  5. Step 5: Solve for x
    x = 237,498,921/10,291
  6. Step 6: Final answer
    x = 23,078.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.