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Finding the Third Proportional to 7,477.31 and 11,729.81

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Solution

The third proportional to 7,477.31 and 11,729.81 is: 18,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.31 : 11,729.81 = 11,729.81 : x
  2. Step 2: Convert to fraction form
    7,477.31/11,729.81 = 11,729.81/x
  3. Step 3: Cross multiply
    7,477.31x = 11,729.81 × 11,729.81
  4. Step 4: Simplify right side
    7,477.31x = 137,588,501.29
  5. Step 5: Solve for x
    x = 137,588,501.29/7,477.31
  6. Step 6: Final answer
    x = 18,400.80

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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.