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Finding the Third Proportional to 40,309 and 85,477

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Solution

The third proportional to 40,309 and 85,477 is: 181,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,309 : 85,477 = 85,477 : x
  2. Step 2: Convert to fraction form
    40,309/85,477 = 85,477/x
  3. Step 3: Cross multiply
    40,309x = 85,477 × 85,477
  4. Step 4: Simplify right side
    40,309x = 7,306,317,529
  5. Step 5: Solve for x
    x = 7,306,317,529/40,309
  6. Step 6: Final answer
    x = 181,257.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.