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Finding the Third Proportional to 322,940 and 504,032

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Solution

The third proportional to 322,940 and 504,032 is: 786,673.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,940 : 504,032 = 504,032 : x
  2. Step 2: Convert to fraction form
    322,940/504,032 = 504,032/x
  3. Step 3: Cross multiply
    322,940x = 504,032 × 504,032
  4. Step 4: Simplify right side
    322,940x = 254,048,257,024
  5. Step 5: Solve for x
    x = 254,048,257,024/322,940
  6. Step 6: Final answer
    x = 786,673.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.