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Finding the Third Proportional to 379,800 and 590,440

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Solution

The third proportional to 379,800 and 590,440 is: 917,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,800 : 590,440 = 590,440 : x
  2. Step 2: Convert to fraction form
    379,800/590,440 = 590,440/x
  3. Step 3: Cross multiply
    379,800x = 590,440 × 590,440
  4. Step 4: Simplify right side
    379,800x = 348,619,393,600
  5. Step 5: Solve for x
    x = 348,619,393,600/379,800
  6. Step 6: Final answer
    x = 917,902.56

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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.