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Finding the Third Proportional to 15,405 and 23,786.81

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Solution

The third proportional to 15,405 and 23,786.81 is: 36,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,405 : 23,786.81 = 23,786.81 : x
  2. Step 2: Convert to fraction form
    15,405/23,786.81 = 23,786.81/x
  3. Step 3: Cross multiply
    15,405x = 23,786.81 × 23,786.81
  4. Step 4: Simplify right side
    15,405x = 565,812,448.91
  5. Step 5: Solve for x
    x = 565,812,448.91/15,405
  6. Step 6: Final answer
    x = 36,729.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.