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Finding the Third Proportional to 51,312 and 76,761

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Solution

The third proportional to 51,312 and 76,761 is: 114,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,312 : 76,761 = 76,761 : x
  2. Step 2: Convert to fraction form
    51,312/76,761 = 76,761/x
  3. Step 3: Cross multiply
    51,312x = 76,761 × 76,761
  4. Step 4: Simplify right side
    51,312x = 5,892,251,121
  5. Step 5: Solve for x
    x = 5,892,251,121/51,312
  6. Step 6: Final answer
    x = 114,831.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.