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Finding the Third Proportional to 15,732 and 18,036

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Solution

The third proportional to 15,732 and 18,036 is: 20,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732 : 18,036 = 18,036 : x
  2. Step 2: Convert to fraction form
    15,732/18,036 = 18,036/x
  3. Step 3: Cross multiply
    15,732x = 18,036 × 18,036
  4. Step 4: Simplify right side
    15,732x = 325,297,296
  5. Step 5: Solve for x
    x = 325,297,296/15,732
  6. Step 6: Final answer
    x = 20,677.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.