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Finding the Third Proportional to 13,986 and 30,432

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Solution

The third proportional to 13,986 and 30,432 is: 66,216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986 : 30,432 = 30,432 : x
  2. Step 2: Convert to fraction form
    13,986/30,432 = 30,432/x
  3. Step 3: Cross multiply
    13,986x = 30,432 × 30,432
  4. Step 4: Simplify right side
    13,986x = 926,106,624
  5. Step 5: Solve for x
    x = 926,106,624/13,986
  6. Step 6: Final answer
    x = 66,216.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.