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Finding the Third Proportional to 20,157 and 31,503

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Solution

The third proportional to 20,157 and 31,503 is: 49,235.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157 : 31,503 = 31,503 : x
  2. Step 2: Convert to fraction form
    20,157/31,503 = 31,503/x
  3. Step 3: Cross multiply
    20,157x = 31,503 × 31,503
  4. Step 4: Simplify right side
    20,157x = 992,439,009
  5. Step 5: Solve for x
    x = 992,439,009/20,157
  6. Step 6: Final answer
    x = 49,235.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.