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Finding the Third Proportional to 264,718 and 405,019

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Solution

The third proportional to 264,718 and 405,019 is: 619,679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,718 : 405,019 = 405,019 : x
  2. Step 2: Convert to fraction form
    264,718/405,019 = 405,019/x
  3. Step 3: Cross multiply
    264,718x = 405,019 × 405,019
  4. Step 4: Simplify right side
    264,718x = 164,040,390,361
  5. Step 5: Solve for x
    x = 164,040,390,361/264,718
  6. Step 6: Final answer
    x = 619,679.77

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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.