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Finding the Third Proportional to 4,051.69 and 5,385.09

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Solution

The third proportional to 4,051.69 and 5,385.09 is: 7,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.69 : 5,385.09 = 5,385.09 : x
  2. Step 2: Convert to fraction form
    4,051.69/5,385.09 = 5,385.09/x
  3. Step 3: Cross multiply
    4,051.69x = 5,385.09 × 5,385.09
  4. Step 4: Simplify right side
    4,051.69x = 28,999,234.70
  5. Step 5: Solve for x
    x = 28,999,234.70/4,051.69
  6. Step 6: Final answer
    x = 7,157.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.