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Finding the Third Proportional to 284,008 and 426,740

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Solution

The third proportional to 284,008 and 426,740 is: 641,203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,008 : 426,740 = 426,740 : x
  2. Step 2: Convert to fraction form
    284,008/426,740 = 426,740/x
  3. Step 3: Cross multiply
    284,008x = 426,740 × 426,740
  4. Step 4: Simplify right side
    284,008x = 182,107,027,600
  5. Step 5: Solve for x
    x = 182,107,027,600/284,008
  6. Step 6: Final answer
    x = 641,203.87

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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.