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Finding the Third Proportional to 19,419.75 and 27,339.75

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Solution

The third proportional to 19,419.75 and 27,339.75 is: 38,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,419.75 : 27,339.75 = 27,339.75 : x
  2. Step 2: Convert to fraction form
    19,419.75/27,339.75 = 27,339.75/x
  3. Step 3: Cross multiply
    19,419.75x = 27,339.75 × 27,339.75
  4. Step 4: Simplify right side
    19,419.75x = 747,461,930.06
  5. Step 5: Solve for x
    x = 747,461,930.06/19,419.75
  6. Step 6: Final answer
    x = 38,489.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.