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Finding the Third Proportional to 286,245 and 378,474.75

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Solution

The third proportional to 286,245 and 378,474.75 is: 500,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,245 : 378,474.75 = 378,474.75 : x
  2. Step 2: Convert to fraction form
    286,245/378,474.75 = 378,474.75/x
  3. Step 3: Cross multiply
    286,245x = 378,474.75 × 378,474.75
  4. Step 4: Simplify right side
    286,245x = 143,243,136,387.56
  5. Step 5: Solve for x
    x = 143,243,136,387.56/286,245
  6. Step 6: Final answer
    x = 500,421.44

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.