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Finding the Third Proportional to 379,293.75 and 806,859

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Solution

The third proportional to 379,293.75 and 806,859 is: 1,716,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,293.75 : 806,859 = 806,859 : x
  2. Step 2: Convert to fraction form
    379,293.75/806,859 = 806,859/x
  3. Step 3: Cross multiply
    379,293.75x = 806,859 × 806,859
  4. Step 4: Simplify right side
    379,293.75x = 651,021,445,881
  5. Step 5: Solve for x
    x = 651,021,445,881/379,293.75
  6. Step 6: Final answer
    x = 1,716,404.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.