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Finding the Third Proportional to 76,512 and 126,440

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Solution

The third proportional to 76,512 and 126,440 is: 208,948.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,512 : 126,440 = 126,440 : x
  2. Step 2: Convert to fraction form
    76,512/126,440 = 126,440/x
  3. Step 3: Cross multiply
    76,512x = 126,440 × 126,440
  4. Step 4: Simplify right side
    76,512x = 15,987,073,600
  5. Step 5: Solve for x
    x = 15,987,073,600/76,512
  6. Step 6: Final answer
    x = 208,948.58

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.