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Finding the Third Proportional to 379,381 and 793,835

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Solution

The third proportional to 379,381 and 793,835 is: 1,661,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,381 : 793,835 = 793,835 : x
  2. Step 2: Convert to fraction form
    379,381/793,835 = 793,835/x
  3. Step 3: Cross multiply
    379,381x = 793,835 × 793,835
  4. Step 4: Simplify right side
    379,381x = 630,174,007,225
  5. Step 5: Solve for x
    x = 630,174,007,225/379,381
  6. Step 6: Final answer
    x = 1,661,058.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.