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Finding the Third Proportional to 20,783.25 and 31,519.13

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Solution

The third proportional to 20,783.25 and 31,519.13 is: 47,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.25 : 31,519.13 = 31,519.13 : x
  2. Step 2: Convert to fraction form
    20,783.25/31,519.13 = 31,519.13/x
  3. Step 3: Cross multiply
    20,783.25x = 31,519.13 × 31,519.13
  4. Step 4: Simplify right side
    20,783.25x = 993,455,240.77
  5. Step 5: Solve for x
    x = 993,455,240.77/20,783.25
  6. Step 6: Final answer
    x = 47,800.76

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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.