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Finding the Third Proportional to 13,415 and 20,411

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Solution

The third proportional to 13,415 and 20,411 is: 31,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415 : 20,411 = 20,411 : x
  2. Step 2: Convert to fraction form
    13,415/20,411 = 20,411/x
  3. Step 3: Cross multiply
    13,415x = 20,411 × 20,411
  4. Step 4: Simplify right side
    13,415x = 416,608,921
  5. Step 5: Solve for x
    x = 416,608,921/13,415
  6. Step 6: Final answer
    x = 31,055.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.