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Finding the Third Proportional to 8,522 and 12,859

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Solution

The third proportional to 8,522 and 12,859 is: 19,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522 : 12,859 = 12,859 : x
  2. Step 2: Convert to fraction form
    8,522/12,859 = 12,859/x
  3. Step 3: Cross multiply
    8,522x = 12,859 × 12,859
  4. Step 4: Simplify right side
    8,522x = 165,353,881
  5. Step 5: Solve for x
    x = 165,353,881/8,522
  6. Step 6: Final answer
    x = 19,403.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.