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Finding the Third Proportional to 17,639 and 23,515

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Solution

The third proportional to 17,639 and 23,515 is: 31,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,639 : 23,515 = 23,515 : x
  2. Step 2: Convert to fraction form
    17,639/23,515 = 23,515/x
  3. Step 3: Cross multiply
    17,639x = 23,515 × 23,515
  4. Step 4: Simplify right side
    17,639x = 552,955,225
  5. Step 5: Solve for x
    x = 552,955,225/17,639
  6. Step 6: Final answer
    x = 31,348.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.