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Finding the Third Proportional to 15,289.88 and 21,531.75

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Solution

The third proportional to 15,289.88 and 21,531.75 is: 30,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,289.88 : 21,531.75 = 21,531.75 : x
  2. Step 2: Convert to fraction form
    15,289.88/21,531.75 = 21,531.75/x
  3. Step 3: Cross multiply
    15,289.88x = 21,531.75 × 21,531.75
  4. Step 4: Simplify right side
    15,289.88x = 463,616,258.06
  5. Step 5: Solve for x
    x = 463,616,258.06/15,289.88
  6. Step 6: Final answer
    x = 30,321.78

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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.