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Finding the Third Proportional to 18,135 and 39,591

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Solution

The third proportional to 18,135 and 39,591 is: 86,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,135 : 39,591 = 39,591 : x
  2. Step 2: Convert to fraction form
    18,135/39,591 = 39,591/x
  3. Step 3: Cross multiply
    18,135x = 39,591 × 39,591
  4. Step 4: Simplify right side
    18,135x = 1,567,447,281
  5. Step 5: Solve for x
    x = 1,567,447,281/18,135
  6. Step 6: Final answer
    x = 86,432.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.