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Finding the Third Proportional to 213,278 and 320,462

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Solution

The third proportional to 213,278 and 320,462 is: 481,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,278 : 320,462 = 320,462 : x
  2. Step 2: Convert to fraction form
    213,278/320,462 = 320,462/x
  3. Step 3: Cross multiply
    213,278x = 320,462 × 320,462
  4. Step 4: Simplify right side
    213,278x = 102,695,893,444
  5. Step 5: Solve for x
    x = 102,695,893,444/213,278
  6. Step 6: Final answer
    x = 481,511.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.