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Finding the Third Proportional to 10,769 and 20,948

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Solution

The third proportional to 10,769 and 20,948 is: 40,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769 : 20,948 = 20,948 : x
  2. Step 2: Convert to fraction form
    10,769/20,948 = 20,948/x
  3. Step 3: Cross multiply
    10,769x = 20,948 × 20,948
  4. Step 4: Simplify right side
    10,769x = 438,818,704
  5. Step 5: Solve for x
    x = 438,818,704/10,769
  6. Step 6: Final answer
    x = 40,748.32

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.