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Finding the Third Proportional to 18,489.38 and 27,702.38

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Solution

The third proportional to 18,489.38 and 27,702.38 is: 41,506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,489.38 : 27,702.38 = 27,702.38 : x
  2. Step 2: Convert to fraction form
    18,489.38/27,702.38 = 27,702.38/x
  3. Step 3: Cross multiply
    18,489.38x = 27,702.38 × 27,702.38
  4. Step 4: Simplify right side
    18,489.38x = 767,421,580.64
  5. Step 5: Solve for x
    x = 767,421,580.64/18,489.38
  6. Step 6: Final answer
    x = 41,506.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.