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Finding the Third Proportional to 13,420 and 18,294

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Solution

The third proportional to 13,420 and 18,294 is: 24,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420 : 18,294 = 18,294 : x
  2. Step 2: Convert to fraction form
    13,420/18,294 = 18,294/x
  3. Step 3: Cross multiply
    13,420x = 18,294 × 18,294
  4. Step 4: Simplify right side
    13,420x = 334,670,436
  5. Step 5: Solve for x
    x = 334,670,436/13,420
  6. Step 6: Final answer
    x = 24,938.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.