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Finding the Third Proportional to 12,489 and 26,715

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Solution

The third proportional to 12,489 and 26,715 is: 57,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489 : 26,715 = 26,715 : x
  2. Step 2: Convert to fraction form
    12,489/26,715 = 26,715/x
  3. Step 3: Cross multiply
    12,489x = 26,715 × 26,715
  4. Step 4: Simplify right side
    12,489x = 713,691,225
  5. Step 5: Solve for x
    x = 713,691,225/12,489
  6. Step 6: Final answer
    x = 57,145.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.