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Finding the Third Proportional to 8,415 and 17,523

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Solution

The third proportional to 8,415 and 17,523 is: 36,489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415 : 17,523 = 17,523 : x
  2. Step 2: Convert to fraction form
    8,415/17,523 = 17,523/x
  3. Step 3: Cross multiply
    8,415x = 17,523 × 17,523
  4. Step 4: Simplify right side
    8,415x = 307,055,529
  5. Step 5: Solve for x
    x = 307,055,529/8,415
  6. Step 6: Final answer
    x = 36,489.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.