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Finding the Third Proportional to 379,790 and 590,425

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Solution

The third proportional to 379,790 and 590,425 is: 917,880.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,790 : 590,425 = 590,425 : x
  2. Step 2: Convert to fraction form
    379,790/590,425 = 590,425/x
  3. Step 3: Cross multiply
    379,790x = 590,425 × 590,425
  4. Step 4: Simplify right side
    379,790x = 348,601,680,625
  5. Step 5: Solve for x
    x = 348,601,680,625/379,790
  6. Step 6: Final answer
    x = 917,880.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.