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Finding the Third Proportional to 4,135.50 and 9,581.63

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Solution

The third proportional to 4,135.50 and 9,581.63 is: 22,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.50 : 9,581.63 = 9,581.63 : x
  2. Step 2: Convert to fraction form
    4,135.50/9,581.63 = 9,581.63/x
  3. Step 3: Cross multiply
    4,135.50x = 9,581.63 × 9,581.63
  4. Step 4: Simplify right side
    4,135.50x = 91,807,537.64
  5. Step 5: Solve for x
    x = 91,807,537.64/4,135.50
  6. Step 6: Final answer
    x = 22,199.86

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.