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Finding the Third Proportional to 13,478 and 18,957

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Solution

The third proportional to 13,478 and 18,957 is: 26,663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478 : 18,957 = 18,957 : x
  2. Step 2: Convert to fraction form
    13,478/18,957 = 18,957/x
  3. Step 3: Cross multiply
    13,478x = 18,957 × 18,957
  4. Step 4: Simplify right side
    13,478x = 359,367,849
  5. Step 5: Solve for x
    x = 359,367,849/13,478
  6. Step 6: Final answer
    x = 26,663.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.