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Finding the Third Proportional to 35,340 and 81,747

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Solution

The third proportional to 35,340 and 81,747 is: 189,093.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,340 : 81,747 = 81,747 : x
  2. Step 2: Convert to fraction form
    35,340/81,747 = 81,747/x
  3. Step 3: Cross multiply
    35,340x = 81,747 × 81,747
  4. Step 4: Simplify right side
    35,340x = 6,682,572,009
  5. Step 5: Solve for x
    x = 6,682,572,009/35,340
  6. Step 6: Final answer
    x = 189,093.72

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.