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Finding the Third Proportional to 377,990 and 585,279

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Solution

The third proportional to 377,990 and 585,279 is: 906,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,990 : 585,279 = 585,279 : x
  2. Step 2: Convert to fraction form
    377,990/585,279 = 585,279/x
  3. Step 3: Cross multiply
    377,990x = 585,279 × 585,279
  4. Step 4: Simplify right side
    377,990x = 342,551,507,841
  5. Step 5: Solve for x
    x = 342,551,507,841/377,990
  6. Step 6: Final answer
    x = 906,244.89

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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.