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Finding the Third Proportional to 284,040 and 426,796

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Solution

The third proportional to 284,040 and 426,796 is: 641,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,040 : 426,796 = 426,796 : x
  2. Step 2: Convert to fraction form
    284,040/426,796 = 426,796/x
  3. Step 3: Cross multiply
    284,040x = 426,796 × 426,796
  4. Step 4: Simplify right side
    284,040x = 182,154,825,616
  5. Step 5: Solve for x
    x = 182,154,825,616/284,040
  6. Step 6: Final answer
    x = 641,299.91

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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.