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Finding the Third Proportional to 12,270 and 18,354

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Solution

The third proportional to 12,270 and 18,354 is: 27,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270 : 18,354 = 18,354 : x
  2. Step 2: Convert to fraction form
    12,270/18,354 = 18,354/x
  3. Step 3: Cross multiply
    12,270x = 18,354 × 18,354
  4. Step 4: Simplify right side
    12,270x = 336,869,316
  5. Step 5: Solve for x
    x = 336,869,316/12,270
  6. Step 6: Final answer
    x = 27,454.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.