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Finding the Third Proportional to 338,304 and 505,788

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Solution

The third proportional to 338,304 and 505,788 is: 756,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,304 : 505,788 = 505,788 : x
  2. Step 2: Convert to fraction form
    338,304/505,788 = 505,788/x
  3. Step 3: Cross multiply
    338,304x = 505,788 × 505,788
  4. Step 4: Simplify right side
    338,304x = 255,821,500,944
  5. Step 5: Solve for x
    x = 255,821,500,944/338,304
  6. Step 6: Final answer
    x = 756,188.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.