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Finding the Third Proportional to 10,311 and 13,996.50

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Solution

The third proportional to 10,311 and 13,996.50 is: 18,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311 : 13,996.50 = 13,996.50 : x
  2. Step 2: Convert to fraction form
    10,311/13,996.50 = 13,996.50/x
  3. Step 3: Cross multiply
    10,311x = 13,996.50 × 13,996.50
  4. Step 4: Simplify right side
    10,311x = 195,902,012.25
  5. Step 5: Solve for x
    x = 195,902,012.25/10,311
  6. Step 6: Final answer
    x = 18,999.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.