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Finding the Third Proportional to 8,653.50 and 11,405.81

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Solution

The third proportional to 8,653.50 and 11,405.81 is: 15,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.50 : 11,405.81 = 11,405.81 : x
  2. Step 2: Convert to fraction form
    8,653.50/11,405.81 = 11,405.81/x
  3. Step 3: Cross multiply
    8,653.50x = 11,405.81 × 11,405.81
  4. Step 4: Simplify right side
    8,653.50x = 130,092,558.79
  5. Step 5: Solve for x
    x = 130,092,558.79/8,653.50
  6. Step 6: Final answer
    x = 15,033.52

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.