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Finding the Third Proportional to 12,170 and 17,402

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Solution

The third proportional to 12,170 and 17,402 is: 24,883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170 : 17,402 = 17,402 : x
  2. Step 2: Convert to fraction form
    12,170/17,402 = 17,402/x
  3. Step 3: Cross multiply
    12,170x = 17,402 × 17,402
  4. Step 4: Simplify right side
    12,170x = 302,829,604
  5. Step 5: Solve for x
    x = 302,829,604/12,170
  6. Step 6: Final answer
    x = 24,883.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.