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Finding the Third Proportional to 312,936 and 673,042

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Solution

The third proportional to 312,936 and 673,042 is: 1,447,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,936 : 673,042 = 673,042 : x
  2. Step 2: Convert to fraction form
    312,936/673,042 = 673,042/x
  3. Step 3: Cross multiply
    312,936x = 673,042 × 673,042
  4. Step 4: Simplify right side
    312,936x = 452,985,533,764
  5. Step 5: Solve for x
    x = 452,985,533,764/312,936
  6. Step 6: Final answer
    x = 1,447,534.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.