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Finding the Third Proportional to 7,605.56 and 11,945.81

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Solution

The third proportional to 7,605.56 and 11,945.81 is: 18,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.56 : 11,945.81 = 11,945.81 : x
  2. Step 2: Convert to fraction form
    7,605.56/11,945.81 = 11,945.81/x
  3. Step 3: Cross multiply
    7,605.56x = 11,945.81 × 11,945.81
  4. Step 4: Simplify right side
    7,605.56x = 142,702,436.29
  5. Step 5: Solve for x
    x = 142,702,436.29/7,605.56
  6. Step 6: Final answer
    x = 18,762.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.