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Finding the Third Proportional to 11,504.53 and 19,143.84

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Solution

The third proportional to 11,504.53 and 19,143.84 is: 31,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.53 : 19,143.84 = 19,143.84 : x
  2. Step 2: Convert to fraction form
    11,504.53/19,143.84 = 19,143.84/x
  3. Step 3: Cross multiply
    11,504.53x = 19,143.84 × 19,143.84
  4. Step 4: Simplify right side
    11,504.53x = 366,486,753.52
  5. Step 5: Solve for x
    x = 366,486,753.52/11,504.53
  6. Step 6: Final answer
    x = 31,855.86

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.