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Finding the Third Proportional to 20,385 and 31,505.63

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Solution

The third proportional to 20,385 and 31,505.63 is: 48,692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,385 : 31,505.63 = 31,505.63 : x
  2. Step 2: Convert to fraction form
    20,385/31,505.63 = 31,505.63/x
  3. Step 3: Cross multiply
    20,385x = 31,505.63 × 31,505.63
  4. Step 4: Simplify right side
    20,385x = 992,604,406.64
  5. Step 5: Solve for x
    x = 992,604,406.64/20,385
  6. Step 6: Final answer
    x = 48,692.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.