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Finding the Third Proportional to 8,117 and 10,999.50

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Solution

The third proportional to 8,117 and 10,999.50 is: 14,905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117 : 10,999.50 = 10,999.50 : x
  2. Step 2: Convert to fraction form
    8,117/10,999.50 = 10,999.50/x
  3. Step 3: Cross multiply
    8,117x = 10,999.50 × 10,999.50
  4. Step 4: Simplify right side
    8,117x = 120,989,000.25
  5. Step 5: Solve for x
    x = 120,989,000.25/8,117
  6. Step 6: Final answer
    x = 14,905.63

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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.