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Finding the Third Proportional to 379,296 and 806,865

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Solution

The third proportional to 379,296 and 806,865 is: 1,716,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,296 : 806,865 = 806,865 : x
  2. Step 2: Convert to fraction form
    379,296/806,865 = 806,865/x
  3. Step 3: Cross multiply
    379,296x = 806,865 × 806,865
  4. Step 4: Simplify right side
    379,296x = 651,031,128,225
  5. Step 5: Solve for x
    x = 651,031,128,225/379,296
  6. Step 6: Final answer
    x = 1,716,419.70

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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.