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Finding the Third Proportional to 30,384 and 40,903

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Solution

The third proportional to 30,384 and 40,903 is: 55,063.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,384 : 40,903 = 40,903 : x
  2. Step 2: Convert to fraction form
    30,384/40,903 = 40,903/x
  3. Step 3: Cross multiply
    30,384x = 40,903 × 40,903
  4. Step 4: Simplify right side
    30,384x = 1,673,055,409
  5. Step 5: Solve for x
    x = 1,673,055,409/30,384
  6. Step 6: Final answer
    x = 55,063.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.