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Finding the Third Proportional to 268,858 and 412,687

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Solution

The third proportional to 268,858 and 412,687 is: 633,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,858 : 412,687 = 412,687 : x
  2. Step 2: Convert to fraction form
    268,858/412,687 = 412,687/x
  3. Step 3: Cross multiply
    268,858x = 412,687 × 412,687
  4. Step 4: Simplify right side
    268,858x = 170,310,559,969
  5. Step 5: Solve for x
    x = 170,310,559,969/268,858
  6. Step 6: Final answer
    x = 633,459.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.