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Finding the Third Proportional to 305,296 and 664,892

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Solution

The third proportional to 305,296 and 664,892 is: 1,448,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,296 : 664,892 = 664,892 : x
  2. Step 2: Convert to fraction form
    305,296/664,892 = 664,892/x
  3. Step 3: Cross multiply
    305,296x = 664,892 × 664,892
  4. Step 4: Simplify right side
    305,296x = 442,081,371,664
  5. Step 5: Solve for x
    x = 442,081,371,664/305,296
  6. Step 6: Final answer
    x = 1,448,041.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.