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Finding the Third Proportional to 20,769 and 31,545

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Solution

The third proportional to 20,769 and 31,545 is: 47,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,769 : 31,545 = 31,545 : x
  2. Step 2: Convert to fraction form
    20,769/31,545 = 31,545/x
  3. Step 3: Cross multiply
    20,769x = 31,545 × 31,545
  4. Step 4: Simplify right side
    20,769x = 995,087,025
  5. Step 5: Solve for x
    x = 995,087,025/20,769
  6. Step 6: Final answer
    x = 47,912.13

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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.