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Finding the Third Proportional to 7,129.27 and 10,847.67

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Solution

The third proportional to 7,129.27 and 10,847.67 is: 16,505.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.27 : 10,847.67 = 10,847.67 : x
  2. Step 2: Convert to fraction form
    7,129.27/10,847.67 = 10,847.67/x
  3. Step 3: Cross multiply
    7,129.27x = 10,847.67 × 10,847.67
  4. Step 4: Simplify right side
    7,129.27x = 117,671,985.11
  5. Step 5: Solve for x
    x = 117,671,985.11/7,129.27
  6. Step 6: Final answer
    x = 16,505.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.