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Finding the Third Proportional to 12,897 and 21,318

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Solution

The third proportional to 12,897 and 21,318 is: 35,237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897 : 21,318 = 21,318 : x
  2. Step 2: Convert to fraction form
    12,897/21,318 = 21,318/x
  3. Step 3: Cross multiply
    12,897x = 21,318 × 21,318
  4. Step 4: Simplify right side
    12,897x = 454,457,124
  5. Step 5: Solve for x
    x = 454,457,124/12,897
  6. Step 6: Final answer
    x = 35,237.43

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.