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Finding the Third Proportional to 40,678 and 61,451

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Solution

The third proportional to 40,678 and 61,451 is: 92,832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,678 : 61,451 = 61,451 : x
  2. Step 2: Convert to fraction form
    40,678/61,451 = 61,451/x
  3. Step 3: Cross multiply
    40,678x = 61,451 × 61,451
  4. Step 4: Simplify right side
    40,678x = 3,776,225,401
  5. Step 5: Solve for x
    x = 3,776,225,401/40,678
  6. Step 6: Final answer
    x = 92,832.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.