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Finding the Third Proportional to 284,677 and 426,832

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Solution

The third proportional to 284,677 and 426,832 is: 639,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,677 : 426,832 = 426,832 : x
  2. Step 2: Convert to fraction form
    284,677/426,832 = 426,832/x
  3. Step 3: Cross multiply
    284,677x = 426,832 × 426,832
  4. Step 4: Simplify right side
    284,677x = 182,185,556,224
  5. Step 5: Solve for x
    x = 182,185,556,224/284,677
  6. Step 6: Final answer
    x = 639,972.87

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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.