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Finding the Third Proportional to 8,415 and 9,801

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Solution

The third proportional to 8,415 and 9,801 is: 11,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415 : 9,801 = 9,801 : x
  2. Step 2: Convert to fraction form
    8,415/9,801 = 9,801/x
  3. Step 3: Cross multiply
    8,415x = 9,801 × 9,801
  4. Step 4: Simplify right side
    8,415x = 96,059,601
  5. Step 5: Solve for x
    x = 96,059,601/8,415
  6. Step 6: Final answer
    x = 11,415.28

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.