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Finding the Third Proportional to 51,228 and 80,370

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Solution

The third proportional to 51,228 and 80,370 is: 126,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,228 : 80,370 = 80,370 : x
  2. Step 2: Convert to fraction form
    51,228/80,370 = 80,370/x
  3. Step 3: Cross multiply
    51,228x = 80,370 × 80,370
  4. Step 4: Simplify right side
    51,228x = 6,459,336,900
  5. Step 5: Solve for x
    x = 6,459,336,900/51,228
  6. Step 6: Final answer
    x = 126,089.97

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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.