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Finding the Third Proportional to 18,648 and 25,688

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Solution

The third proportional to 18,648 and 25,688 is: 35,385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,648 : 25,688 = 25,688 : x
  2. Step 2: Convert to fraction form
    18,648/25,688 = 25,688/x
  3. Step 3: Cross multiply
    18,648x = 25,688 × 25,688
  4. Step 4: Simplify right side
    18,648x = 659,873,344
  5. Step 5: Solve for x
    x = 659,873,344/18,648
  6. Step 6: Final answer
    x = 35,385.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.