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Finding the Third Proportional to 8,890.50 and 11,931

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Solution

The third proportional to 8,890.50 and 11,931 is: 16,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,890.50 : 11,931 = 11,931 : x
  2. Step 2: Convert to fraction form
    8,890.50/11,931 = 11,931/x
  3. Step 3: Cross multiply
    8,890.50x = 11,931 × 11,931
  4. Step 4: Simplify right side
    8,890.50x = 142,348,761
  5. Step 5: Solve for x
    x = 142,348,761/8,890.50
  6. Step 6: Final answer
    x = 16,011.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.