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Finding the Third Proportional to 20,448 and 31,576

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Solution

The third proportional to 20,448 and 31,576 is: 48,759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448 : 31,576 = 31,576 : x
  2. Step 2: Convert to fraction form
    20,448/31,576 = 31,576/x
  3. Step 3: Cross multiply
    20,448x = 31,576 × 31,576
  4. Step 4: Simplify right side
    20,448x = 997,043,776
  5. Step 5: Solve for x
    x = 997,043,776/20,448
  6. Step 6: Final answer
    x = 48,759.97

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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.