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Finding the Third Proportional to 270,786 and 378,555.94

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Solution

The third proportional to 270,786 and 378,555.94 is: 529,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,786 : 378,555.94 = 378,555.94 : x
  2. Step 2: Convert to fraction form
    270,786/378,555.94 = 378,555.94/x
  3. Step 3: Cross multiply
    270,786x = 378,555.94 × 378,555.94
  4. Step 4: Simplify right side
    270,786x = 143,304,597,816.50
  5. Step 5: Solve for x
    x = 143,304,597,816.50/270,786
  6. Step 6: Final answer
    x = 529,217.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.