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Finding the Third Proportional to 30,954 and 40,275

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Solution

The third proportional to 30,954 and 40,275 is: 52,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,954 : 40,275 = 40,275 : x
  2. Step 2: Convert to fraction form
    30,954/40,275 = 40,275/x
  3. Step 3: Cross multiply
    30,954x = 40,275 × 40,275
  4. Step 4: Simplify right side
    30,954x = 1,622,075,625
  5. Step 5: Solve for x
    x = 1,622,075,625/30,954
  6. Step 6: Final answer
    x = 52,402.78

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.