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Finding the Third Proportional to 15,135 and 19,686.75

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Solution

The third proportional to 15,135 and 19,686.75 is: 25,607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,135 : 19,686.75 = 19,686.75 : x
  2. Step 2: Convert to fraction form
    15,135/19,686.75 = 19,686.75/x
  3. Step 3: Cross multiply
    15,135x = 19,686.75 × 19,686.75
  4. Step 4: Simplify right side
    15,135x = 387,568,125.56
  5. Step 5: Solve for x
    x = 387,568,125.56/15,135
  6. Step 6: Final answer
    x = 25,607.41

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.