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Finding the Third Proportional to 270,814 and 378,603

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Solution

The third proportional to 270,814 and 378,603 is: 529,294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,814 : 378,603 = 378,603 : x
  2. Step 2: Convert to fraction form
    270,814/378,603 = 378,603/x
  3. Step 3: Cross multiply
    270,814x = 378,603 × 378,603
  4. Step 4: Simplify right side
    270,814x = 143,340,231,609
  5. Step 5: Solve for x
    x = 143,340,231,609/270,814
  6. Step 6: Final answer
    x = 529,294.02

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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.