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Finding the Third Proportional to 13,390 and 27,842

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Solution

The third proportional to 13,390 and 27,842 is: 57,892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,390 : 27,842 = 27,842 : x
  2. Step 2: Convert to fraction form
    13,390/27,842 = 27,842/x
  3. Step 3: Cross multiply
    13,390x = 27,842 × 27,842
  4. Step 4: Simplify right side
    13,390x = 775,176,964
  5. Step 5: Solve for x
    x = 775,176,964/13,390
  6. Step 6: Final answer
    x = 57,892.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.