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Finding the Third Proportional to 269,388 and 412,281

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Solution

The third proportional to 269,388 and 412,281 is: 630,969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,388 : 412,281 = 412,281 : x
  2. Step 2: Convert to fraction form
    269,388/412,281 = 412,281/x
  3. Step 3: Cross multiply
    269,388x = 412,281 × 412,281
  4. Step 4: Simplify right side
    269,388x = 169,975,622,961
  5. Step 5: Solve for x
    x = 169,975,622,961/269,388
  6. Step 6: Final answer
    x = 630,969.54

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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.