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Finding the Third Proportional to 284,679 and 426,835

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Solution

The third proportional to 284,679 and 426,835 is: 639,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,679 : 426,835 = 426,835 : x
  2. Step 2: Convert to fraction form
    284,679/426,835 = 426,835/x
  3. Step 3: Cross multiply
    284,679x = 426,835 × 426,835
  4. Step 4: Simplify right side
    284,679x = 182,188,117,225
  5. Step 5: Solve for x
    x = 182,188,117,225/284,679
  6. Step 6: Final answer
    x = 639,977.37

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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.