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Finding the Third Proportional to 259,171 and 423,203

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Solution

The third proportional to 259,171 and 423,203 is: 691,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,171 : 423,203 = 423,203 : x
  2. Step 2: Convert to fraction form
    259,171/423,203 = 423,203/x
  3. Step 3: Cross multiply
    259,171x = 423,203 × 423,203
  4. Step 4: Simplify right side
    259,171x = 179,100,779,209
  5. Step 5: Solve for x
    x = 179,100,779,209/259,171
  6. Step 6: Final answer
    x = 691,052.55

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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.