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Finding the Third Proportional to 10,380 and 18,392

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Solution

The third proportional to 10,380 and 18,392 is: 32,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380 : 18,392 = 18,392 : x
  2. Step 2: Convert to fraction form
    10,380/18,392 = 18,392/x
  3. Step 3: Cross multiply
    10,380x = 18,392 × 18,392
  4. Step 4: Simplify right side
    10,380x = 338,265,664
  5. Step 5: Solve for x
    x = 338,265,664/10,380
  6. Step 6: Final answer
    x = 32,588.21

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.