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Finding the Third Proportional to 8,415 and 11,220

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Solution

The third proportional to 8,415 and 11,220 is: 14,960

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415 : 11,220 = 11,220 : x
  2. Step 2: Convert to fraction form
    8,415/11,220 = 11,220/x
  3. Step 3: Cross multiply
    8,415x = 11,220 × 11,220
  4. Step 4: Simplify right side
    8,415x = 125,888,400
  5. Step 5: Solve for x
    x = 125,888,400/8,415
  6. Step 6: Final answer
    x = 14,960

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.