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Finding the Third Proportional to 8,415 and 11,117.25

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Solution

The third proportional to 8,415 and 11,117.25 is: 14,687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415 : 11,117.25 = 11,117.25 : x
  2. Step 2: Convert to fraction form
    8,415/11,117.25 = 11,117.25/x
  3. Step 3: Cross multiply
    8,415x = 11,117.25 × 11,117.25
  4. Step 4: Simplify right side
    8,415x = 123,593,247.56
  5. Step 5: Solve for x
    x = 123,593,247.56/8,415
  6. Step 6: Final answer
    x = 14,687.25

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.