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Finding the Third Proportional to 12,938.06 and 18,311.06

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Solution

The third proportional to 12,938.06 and 18,311.06 is: 25,915.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.06 : 18,311.06 = 18,311.06 : x
  2. Step 2: Convert to fraction form
    12,938.06/18,311.06 = 18,311.06/x
  3. Step 3: Cross multiply
    12,938.06x = 18,311.06 × 18,311.06
  4. Step 4: Simplify right side
    12,938.06x = 335,295,009.88
  5. Step 5: Solve for x
    x = 335,295,009.88/12,938.06
  6. Step 6: Final answer
    x = 25,915.40

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.