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Finding the Third Proportional to 51,240 and 76,860

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Solution

The third proportional to 51,240 and 76,860 is: 115,290

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,240 : 76,860 = 76,860 : x
  2. Step 2: Convert to fraction form
    51,240/76,860 = 76,860/x
  3. Step 3: Cross multiply
    51,240x = 76,860 × 76,860
  4. Step 4: Simplify right side
    51,240x = 5,907,459,600
  5. Step 5: Solve for x
    x = 5,907,459,600/51,240
  6. Step 6: Final answer
    x = 115,290

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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.