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Finding the Third Proportional to 51,417 and 76,905

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Solution

The third proportional to 51,417 and 76,905 is: 115,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,417 : 76,905 = 76,905 : x
  2. Step 2: Convert to fraction form
    51,417/76,905 = 76,905/x
  3. Step 3: Cross multiply
    51,417x = 76,905 × 76,905
  4. Step 4: Simplify right side
    51,417x = 5,914,379,025
  5. Step 5: Solve for x
    x = 5,914,379,025/51,417
  6. Step 6: Final answer
    x = 115,027.70

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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.