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Finding the Third Proportional to 379,780 and 590,406

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Solution

The third proportional to 379,780 and 590,406 is: 917,845.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,780 : 590,406 = 590,406 : x
  2. Step 2: Convert to fraction form
    379,780/590,406 = 590,406/x
  3. Step 3: Cross multiply
    379,780x = 590,406 × 590,406
  4. Step 4: Simplify right side
    379,780x = 348,579,244,836
  5. Step 5: Solve for x
    x = 348,579,244,836/379,780
  6. Step 6: Final answer
    x = 917,845.19

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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.