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Finding the Third Proportional to 51,396 and 81,450

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Solution

The third proportional to 51,396 and 81,450 is: 129,078.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,396 : 81,450 = 81,450 : x
  2. Step 2: Convert to fraction form
    51,396/81,450 = 81,450/x
  3. Step 3: Cross multiply
    51,396x = 81,450 × 81,450
  4. Step 4: Simplify right side
    51,396x = 6,634,102,500
  5. Step 5: Solve for x
    x = 6,634,102,500/51,396
  6. Step 6: Final answer
    x = 129,078.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.