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Finding the Third Proportional to 15,398 and 21,453.25

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Solution

The third proportional to 15,398 and 21,453.25 is: 29,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,398 : 21,453.25 = 21,453.25 : x
  2. Step 2: Convert to fraction form
    15,398/21,453.25 = 21,453.25/x
  3. Step 3: Cross multiply
    15,398x = 21,453.25 × 21,453.25
  4. Step 4: Simplify right side
    15,398x = 460,241,935.56
  5. Step 5: Solve for x
    x = 460,241,935.56/15,398
  6. Step 6: Final answer
    x = 29,889.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.