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Finding the Third Proportional to 285,578 and 401,149

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Solution

The third proportional to 285,578 and 401,149 is: 563,490.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,578 : 401,149 = 401,149 : x
  2. Step 2: Convert to fraction form
    285,578/401,149 = 401,149/x
  3. Step 3: Cross multiply
    285,578x = 401,149 × 401,149
  4. Step 4: Simplify right side
    285,578x = 160,920,520,201
  5. Step 5: Solve for x
    x = 160,920,520,201/285,578
  6. Step 6: Final answer
    x = 563,490.61

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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.