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Finding the Third Proportional to 18,585 and 25,555

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Solution

The third proportional to 18,585 and 25,555 is: 35,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585 : 25,555 = 25,555 : x
  2. Step 2: Convert to fraction form
    18,585/25,555 = 25,555/x
  3. Step 3: Cross multiply
    18,585x = 25,555 × 25,555
  4. Step 4: Simplify right side
    18,585x = 653,058,025
  5. Step 5: Solve for x
    x = 653,058,025/18,585
  6. Step 6: Final answer
    x = 35,138.98

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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.