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Finding the Third Proportional to 312,203 and 676,895

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Solution

The third proportional to 312,203 and 676,895 is: 1,467,592.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,203 : 676,895 = 676,895 : x
  2. Step 2: Convert to fraction form
    312,203/676,895 = 676,895/x
  3. Step 3: Cross multiply
    312,203x = 676,895 × 676,895
  4. Step 4: Simplify right side
    312,203x = 458,186,841,025
  5. Step 5: Solve for x
    x = 458,186,841,025/312,203
  6. Step 6: Final answer
    x = 1,467,592.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.