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Finding the Third Proportional to 150,684 and 316,884

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Solution

The third proportional to 150,684 and 316,884 is: 666,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,684 : 316,884 = 316,884 : x
  2. Step 2: Convert to fraction form
    150,684/316,884 = 316,884/x
  3. Step 3: Cross multiply
    150,684x = 316,884 × 316,884
  4. Step 4: Simplify right side
    150,684x = 100,415,469,456
  5. Step 5: Solve for x
    x = 100,415,469,456/150,684
  6. Step 6: Final answer
    x = 666,397.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.