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Finding the Third Proportional to 259,282 and 389,167

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Solution

The third proportional to 259,282 and 389,167 is: 584,116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,282 : 389,167 = 389,167 : x
  2. Step 2: Convert to fraction form
    259,282/389,167 = 389,167/x
  3. Step 3: Cross multiply
    259,282x = 389,167 × 389,167
  4. Step 4: Simplify right side
    259,282x = 151,450,953,889
  5. Step 5: Solve for x
    x = 151,450,953,889/259,282
  6. Step 6: Final answer
    x = 584,116.73

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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.