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Finding the Third Proportional to 9,886.50 and 11,911.50

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Solution

The third proportional to 9,886.50 and 11,911.50 is: 14,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.50 : 11,911.50 = 11,911.50 : x
  2. Step 2: Convert to fraction form
    9,886.50/11,911.50 = 11,911.50/x
  3. Step 3: Cross multiply
    9,886.50x = 11,911.50 × 11,911.50
  4. Step 4: Simplify right side
    9,886.50x = 141,883,832.25
  5. Step 5: Solve for x
    x = 141,883,832.25/9,886.50
  6. Step 6: Final answer
    x = 14,351.27

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.