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Finding the Third Proportional to 12,455 and 26,759

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Solution

The third proportional to 12,455 and 26,759 is: 57,490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,455 : 26,759 = 26,759 : x
  2. Step 2: Convert to fraction form
    12,455/26,759 = 26,759/x
  3. Step 3: Cross multiply
    12,455x = 26,759 × 26,759
  4. Step 4: Simplify right side
    12,455x = 716,044,081
  5. Step 5: Solve for x
    x = 716,044,081/12,455
  6. Step 6: Final answer
    x = 57,490.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.