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Finding the Third Proportional to 7,882 and 12,902

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Solution

The third proportional to 7,882 and 12,902 is: 21,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882 : 12,902 = 12,902 : x
  2. Step 2: Convert to fraction form
    7,882/12,902 = 12,902/x
  3. Step 3: Cross multiply
    7,882x = 12,902 × 12,902
  4. Step 4: Simplify right side
    7,882x = 166,461,604
  5. Step 5: Solve for x
    x = 166,461,604/7,882
  6. Step 6: Final answer
    x = 21,119.21

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.