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Finding the Third Proportional to 259,452 and 389,178

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Solution

The third proportional to 259,452 and 389,178 is: 583,767

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,452 : 389,178 = 389,178 : x
  2. Step 2: Convert to fraction form
    259,452/389,178 = 389,178/x
  3. Step 3: Cross multiply
    259,452x = 389,178 × 389,178
  4. Step 4: Simplify right side
    259,452x = 151,459,515,684
  5. Step 5: Solve for x
    x = 151,459,515,684/259,452
  6. Step 6: Final answer
    x = 583,767

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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.