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Finding the Third Proportional to 259,242 and 423,318

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Solution

The third proportional to 259,242 and 423,318 is: 691,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,242 : 423,318 = 423,318 : x
  2. Step 2: Convert to fraction form
    259,242/423,318 = 423,318/x
  3. Step 3: Cross multiply
    259,242x = 423,318 × 423,318
  4. Step 4: Simplify right side
    259,242x = 179,198,129,124
  5. Step 5: Solve for x
    x = 179,198,129,124/259,242
  6. Step 6: Final answer
    x = 691,238.80

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.