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Finding the Third Proportional to 279,789 and 422,343

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Solution

The third proportional to 279,789 and 422,343 is: 637,529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,789 : 422,343 = 422,343 : x
  2. Step 2: Convert to fraction form
    279,789/422,343 = 422,343/x
  3. Step 3: Cross multiply
    279,789x = 422,343 × 422,343
  4. Step 4: Simplify right side
    279,789x = 178,373,609,649
  5. Step 5: Solve for x
    x = 178,373,609,649/279,789
  6. Step 6: Final answer
    x = 637,529.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.