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Finding the Third Proportional to 51,915 and 81,330

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Solution

The third proportional to 51,915 and 81,330 is: 127,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,915 : 81,330 = 81,330 : x
  2. Step 2: Convert to fraction form
    51,915/81,330 = 81,330/x
  3. Step 3: Cross multiply
    51,915x = 81,330 × 81,330
  4. Step 4: Simplify right side
    51,915x = 6,614,568,900
  5. Step 5: Solve for x
    x = 6,614,568,900/51,915
  6. Step 6: Final answer
    x = 127,411.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.