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Finding the Third Proportional to 378,249 and 585,657

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Solution

The third proportional to 378,249 and 585,657 is: 906,794.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,249 : 585,657 = 585,657 : x
  2. Step 2: Convert to fraction form
    378,249/585,657 = 585,657/x
  3. Step 3: Cross multiply
    378,249x = 585,657 × 585,657
  4. Step 4: Simplify right side
    378,249x = 342,994,121,649
  5. Step 5: Solve for x
    x = 342,994,121,649/378,249
  6. Step 6: Final answer
    x = 906,794.52

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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.