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Finding the Third Proportional to 20,448 and 31,036

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Solution

The third proportional to 20,448 and 31,036 is: 47,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448 : 31,036 = 31,036 : x
  2. Step 2: Convert to fraction form
    20,448/31,036 = 31,036/x
  3. Step 3: Cross multiply
    20,448x = 31,036 × 31,036
  4. Step 4: Simplify right side
    20,448x = 963,233,296
  5. Step 5: Solve for x
    x = 963,233,296/20,448
  6. Step 6: Final answer
    x = 47,106.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.