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Finding the Third Proportional to 30,481 and 40,769

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Solution

The third proportional to 30,481 and 40,769 is: 54,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,481 : 40,769 = 40,769 : x
  2. Step 2: Convert to fraction form
    30,481/40,769 = 40,769/x
  3. Step 3: Cross multiply
    30,481x = 40,769 × 40,769
  4. Step 4: Simplify right side
    30,481x = 1,662,111,361
  5. Step 5: Solve for x
    x = 1,662,111,361/30,481
  6. Step 6: Final answer
    x = 54,529.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.