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Finding the Third Proportional to 120,231 and 258,564

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Solution

The third proportional to 120,231 and 258,564 is: 556,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,231 : 258,564 = 258,564 : x
  2. Step 2: Convert to fraction form
    120,231/258,564 = 258,564/x
  3. Step 3: Cross multiply
    120,231x = 258,564 × 258,564
  4. Step 4: Simplify right side
    120,231x = 66,855,342,096
  5. Step 5: Solve for x
    x = 66,855,342,096/120,231
  6. Step 6: Final answer
    x = 556,057.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.