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Finding the Third Proportional to 10,865 and 16,419

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Solution

The third proportional to 10,865 and 16,419 is: 24,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865 : 16,419 = 16,419 : x
  2. Step 2: Convert to fraction form
    10,865/16,419 = 16,419/x
  3. Step 3: Cross multiply
    10,865x = 16,419 × 16,419
  4. Step 4: Simplify right side
    10,865x = 269,583,561
  5. Step 5: Solve for x
    x = 269,583,561/10,865
  6. Step 6: Final answer
    x = 24,812.11

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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.