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Finding the Third Proportional to 379,296 and 810,432

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Solution

The third proportional to 379,296 and 810,432 is: 1,731,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,296 : 810,432 = 810,432 : x
  2. Step 2: Convert to fraction form
    379,296/810,432 = 810,432/x
  3. Step 3: Cross multiply
    379,296x = 810,432 × 810,432
  4. Step 4: Simplify right side
    379,296x = 656,800,026,624
  5. Step 5: Solve for x
    x = 656,800,026,624/379,296
  6. Step 6: Final answer
    x = 1,731,629.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.