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Finding the Third Proportional to 13,215 and 20,415

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Solution

The third proportional to 13,215 and 20,415 is: 31,537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215 : 20,415 = 20,415 : x
  2. Step 2: Convert to fraction form
    13,215/20,415 = 20,415/x
  3. Step 3: Cross multiply
    13,215x = 20,415 × 20,415
  4. Step 4: Simplify right side
    13,215x = 416,772,225
  5. Step 5: Solve for x
    x = 416,772,225/13,215
  6. Step 6: Final answer
    x = 31,537.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.